Question 1

Suppose the odds in favor that a man will be bald by the time he is 70 are 11 to 1. State this as a probability.

Accepted Answer

A)  $P ( E ) = \frac { 1 } { 11 }$ 
B)  $P ( E ) = \frac { 12 } { 11 }$ 
C)  $P ( E ) = \frac { 1 } { 12 }$ 
D)  $P ( E ) = \frac { 11 } { 12 }$ 
E)  $P ( E ) = \frac { 11 } { 1 }$ 
A)  $P ( E ) = \frac { 1 } { 11 }$ 
B)  $P ( E ) = \frac { 12 } { 11 }$ 
C)  $P ( E ) = \frac { 1 } { 12 }$ 
D)  $P ( E ) = \frac { 11 } { 12 }$ 
E)  $P ( E ) = \frac { 11 } { 1 }$

Question 2

Consider the following game in which a player rolls a single die. If a prime (2, 3, or 5) is rolled, the player wins $3. If a square (1 or 4) is rolled, the player wins $1. However, if the player rolls a perfect number (6), it costs the player $14. What is $E$ and is this a good deal for the player or not?

Accepted Answer

A)  $E \approx \$ 2.72$ it is a good deal. 
B)  $E \approx$ $ 1.67 it is a good deal. 
C)  $E \approx$ - $ 2.72 it is not a good deal. 
D)  $E \approx$- $ 1.67 it is not a good deal. 
E)  $E \approx \$ 0.00$ it is a draw. 
A)  $E \approx \$ 2.72$ it is a good deal. 
B)  $E \approx$ $ 1.67 it is a good deal. 
C)  $E \approx$ - $ 2.72 it is not a good deal. 
D)  $E \approx$- $ 1.67 it is not a good deal. 
E)  $E \approx \$ 0.00$ it is a draw.

Question 3

Last year in Ferndale, CA, it rained on 41 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places). $p \approx$ __________

Accepted Answer

The answer of Last year in Ferndale, CA, it rained...

Question 4

What is the probability of flipping a coin 8 times and obtaining all heads?

Accepted Answer

A)  $\frac{1}{8}$ 
B)  $\frac { 255 } { 256 }$ 
C)  $\frac { 1 } { 64 }$ 
D)  $\frac { 1 } { 256 }$ 
E)  $\frac{7}{8}$ 
A)  $\frac{1}{8}$ 
B)  $\frac { 255 } { 256 }$ 
C)  $\frac { 1 } { 64 }$ 
D)  $\frac { 1 } { 256 }$ 
E)  $\frac{7}{8}$

Question 5

Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being tails? Give your answer as a fraction.

Accepted Answer

The answer of Suppose you flip 3 coins simultaneously. List...

Question 6

Complete the list. Give your answer as a fraction.
 cellpadding="0" cellspacing="0" width $ =87 \% $ " border="0">
Experiment: Rolling a die
Success: d2
$ P $ (success): $ \frac{1}{2} $
P(failure): ?

Accepted Answer

The answer of Complete the list. Give your answer as...

Question 7

Find the probability of the event with odds in favor of 6 to 7.

Accepted Answer

A)  $P ( E ) = \frac { 7 } { 6 }$ 
B)  $P ( E ) = \frac { 6 } { 13 }$ 
C)  $P ( E ) = \frac { 7 } { 13 }$ 
D)  $P ( E ) = \frac { 6 } { 7 }$ 
E)  $P ( E ) = \frac { 1 } { 7 }$ 
A)  $P ( E ) = \frac { 7 } { 6 }$ 
B)  $P ( E ) = \frac { 6 } { 13 }$ 
C)  $P ( E ) = \frac { 7 } { 13 }$ 
D)  $P ( E ) = \frac { 6 } { 7 }$ 
E)  $P ( E ) = \frac { 1 } { 7 }$

Question 8

If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?

Accepted Answer

A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 6 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 2 } { 3 }$ 
E)  $\frac { 1 } { 2 }$ 
A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 6 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 2 } { 3 }$ 
E)  $\frac { 1 } { 2 }$

Question 9

A game involves drawing a single card from an ordinary deck. If an ace is drawn, you receive $60$ cents; if a heart is drawn, you receive $20$ cents; if the queen of spades is drawn, you receive $ $1$ . If the cost of playing is $5$ cents, what is $E$ and should you play?

Accepted Answer

A)  $E \approx \$ 0.17$ yes, you should play the game 
B)  $E \& \$ 0.00$ it s a draw 
C)  $E \& \$ 0.03$ yes, you should play the game 
D)  $E \approx$ - \$ 0.03\) no, you should not play the game 
E)  $E  \approx$- \$ 0.17\) no, you should not play the game 
A)  $E \approx \$ 0.17$ yes, you should play the game 
B)  $E \& \$ 0.00$ it s a draw 
C)  $E \& \$ 0.03$ yes, you should play the game 
D)  $E \approx$ - \$ 0.03\) no, you should not play the game 
E)  $E  \approx$- \$ 0.17\) no, you should not play the game

Question 10

Suppose that you roll two dice. You will be paid $ $7$ if you roll a double. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of rolling the dice? $ __________

Accepted Answer

The answer of Suppose that you roll two dice. You...

Question 11

Use estimation to select the best response. Do not calculate. 
Which of the following is more probable? 
Obtaining at least 3 heads in 5 flips of a coin or 
Obtaining at least 3 heads in 6 flips of a coin or 
They are equally probable

Accepted Answer

Obtaining

Question 12

Suppose that you have 8 quarters, 5 dimes, 7 nickels, and 5 pennies in your pocket. You reach in and choose a coin at random. What is the expected value? 
$ __________ 
What type of coin is most likely to be picked? 
__________

Accepted Answer

The answer of Suppose that you have 8 quarters, 5...

Question 13

Find the probability of the event with odds against it 100 to 1. $$P ( E ) = \frac { ? } { ? }$$

Accepted Answer

The answer of Find the probability of the event with...

Question 14

Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).

Accepted Answer

A)  about $0.42$ 
B)  about $0.92$ 
C)  about $0.58$ 
D)  about $0.01$ 
E)  about $0.08$ 
A)  about $0.42$ 
B)  about $0.92$ 
C)  about $0.58$ 
D)  about $0.01$ 
E)  about $0.08$

Question 15

Find $P ( \bar { B } )$ if $P ( B ) = \frac { 9 } { 11 }$ .

Accepted Answer

A)  $P ( \bar { B } ) = \frac { 3 } { 11 }$ 
B)  $P ( \bar { B } ) = \frac { 2 } { 11 }$ 
C)  $P ( \bar { B } ) = - \frac { 9 } { 11 }$ 
D)  $P ( \bar { B } ) = \frac { 81 } { 121 }$ 
E)  $P ( \bar { B } ) = \frac { 11 } { 9 }$ 
A)  $P ( \bar { B } ) = \frac { 3 } { 11 }$ 
B)  $P ( \bar { B } ) = \frac { 2 } { 11 }$ 
C)  $P ( \bar { B } ) = - \frac { 9 } { 11 }$ 
D)  $P ( \bar { B } ) = \frac { 81 } { 121 }$ 
E)  $P ( \bar { B } ) = \frac { 11 } { 9 }$

Question 16

Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).

Accepted Answer

A)  about $0.03$ 
B)  about $0.06$ 
C)  about $0.19$ 
D)  about $0.02$ 
E)  about $0.04$ 
A)  about $0.03$ 
B)  about $0.06$ 
C)  about $0.19$ 
D)  about $0.02$ 
E)  about $0.04$

Question 17

Complete the list.
 $\text { cellpadding="0" cellspacing }=0 " \text { width }=" 55 \% \text { " border="0"> }$
$\text { Experiment: Tossing a coin }$
Success:     tails
$\text { Failure: }$ _________

$P \text { (success): } \frac{1}{2}$
$P(\text { failure): }$ ___________

Accepted Answer

The answer of Complete the list.
 \(\text { cellpadding="0" cellspacing...

Question 18

Last year, 1,328 calculators were returned to the manufacturer. If 79,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places). $p \approx$ __________

Accepted Answer

The answer of Last year, 1,328 calculators were returned to...

Question 19

When the expected value of a game is $0, is the game favorable to the player, the game's sponsor, or neither? Explain.

Accepted Answer

The game is favorable to neith

Question 20

Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Royal flush 4 hands   Other straight flush 36 hands   Four of a kind 624 hands   Full house 3,744 hands   Flush 5,108 hands   Straight 10,200 hands   Three of a kind 54,912 hands   Two pair 123,552 hands   One pair 1,098,240 hands   Other hands 1,302,540 hands   Find the requested probabilities. Use a calculator and show your answers to whatever accuracy possible on your calculator. P (two pair) = __________ P (one pair) = __________

Accepted Answer

0.04753901

Suppose the odds in favor that a man will be bald by the time he is 70 are 11 to 1. State this as a probability.

Last year in Ferndale, CA, it rained on 41 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places). $p \approx$ __________

What is the probability of flipping a coin 8 times and obtaining all heads?

Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being tails? Give your answer as a fraction.

Complete the list. Give your answer as a fraction. cellpadding="0" cellspacing="0" width $=87 \%$ " border="0"> Experiment: Rolling a die Success: d2 $P$ (success): $\frac{1}{2}$ P(failure): ?

Find the probability of the event with odds in favor of 6 to 7.

If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?

A game involves drawing a single card from an ordinary deck. If an ace is drawn, you receive $60$ cents; if a heart is drawn, you receive $20$ cents; if the queen of spades is drawn, you receive $ $1$ . If the cost of playing is $5$ cents, what is $E$ and should you play?

Suppose that you roll two dice. You will be paid $ $7$ if you roll a double. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of rolling the dice? $ __________

Use estimation to select the best response. Do not calculate. Which of the following is more probable? Obtaining at least 3 heads in 5 flips of a coin or Obtaining at least 3 heads in 6 flips of a coin or They are equally probable

Suppose that you have 8 quarters, 5 dimes, 7 nickels, and 5 pennies in your pocket. You reach in and choose a coin at random. What is the expected value? $ What type of coin is most likely to be picked?

Find the probability of the event with odds against it 100 to 1. $P ( E ) = \frac { ? } { ? }$

Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).

Find $P ( \bar { B } )$ if $P ( B ) = \frac { 9 } { 11 }$ .

Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).

Complete the list. }"> $\text { cellpadding="0" cellspacing }=0 " \text { width }=" 55 \% \text { " border="0"> }$ $\text { Experiment: Tossing a coin }$ Success: tails $\text { Failure: }$ _ $P \text { (success): } \frac{1}{2}$ $P(\text { failure): }$ ___

Last year, 1,328 calculators were returned to the manufacturer. If 79,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places). $p \approx$ __________

When the expected value of a game is $0, is the game favorable to the player, the game's sponsor, or neither? Explain.

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Sets and Logic

Statistics

Graphs

Filters

Exam 9: Probability

Suppose the odds in favor that a man will be bald by the time he is 70 are 11 to 1. State this as a probability.

Last year in Ferndale, CA, it rained on 41 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places). p≈p \approxp≈ __________

What is the probability of flipping a coin 8 times and obtaining all heads?

Suppose you flip 3 coins simultaneously. List the sample space for yourself in order to answer the question. What is the probability of all 3 coins being tails? Give your answer as a fraction.

Complete the list. Give your answer as a fraction. cellpadding="0" cellspacing="0" width =87% =87 \% =87% " border="0"> Experiment: Rolling a die Success: d2 P P P (success): 12 \frac{1}{2} 21​ P(failure): ?

Find the probability of the event with odds in favor of 6 to 7.

If you simultaneously toss a coin and roll a die, the possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a head and an odd number?

A game involves drawing a single card from an ordinary deck. If an ace is drawn, you receive 606060 cents; if a heart is drawn, you receive 202020 cents; if the queen of spades is drawn, you receive $ 111 . If the cost of playing is 555 cents, what is EEE and should you play?

Suppose that you roll two dice. You will be paid $ 777 if you roll a double. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of rolling the dice? $ __________

Use estimation to select the best response. Do not calculate. Which of the following is more probable? Obtaining at least 3 heads in 5 flips of a coin or Obtaining at least 3 heads in 6 flips of a coin or They are equally probable

Suppose that you have 8 quarters, 5 dimes, 7 nickels, and 5 pennies in your pocket. You reach in and choose a coin at random. What is the expected value? $ __________ What type of coin is most likely to be picked? __________

Find the probability of the event with odds against it 100 to 1. P(E)=??P ( E ) = \frac { ? } { ? }P(E)=??​

Last year in Ferndale, CA, it rained on 28 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places).

Find P(Bˉ)P ( \bar { B } )P(Bˉ) if P(B)=911P ( B ) = \frac { 9 } { 11 }P(B)=119​ .

Last year, 1,394 calculators were returned to the manufacturer. If 72,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places).

Last year, 1,328 calculators were returned to the manufacturer. If 79,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places). p≈p \approxp≈ __________

When the expected value of a game is $0, is the game favorable to the player, the game's sponsor, or neither? Explain.

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Sets and Logic

Statistics

Graphs

Filters

Last year in Ferndale, CA, it rained on 41 days. What is the probability of rain on a day selected at random? Give the probability in decimal form (correct to two decimal places). $p \approx$ __________

Complete the list. Give your answer as a fraction. cellpadding="0" cellspacing="0" width $=87 \%$ " border="0"> Experiment: Rolling a die Success: d2 $P$ (success): $\frac{1}{2}$ P(failure): ?

A game involves drawing a single card from an ordinary deck. If an ace is drawn, you receive $60$ cents; if a heart is drawn, you receive $20$ cents; if the queen of spades is drawn, you receive $ $1$ . If the cost of playing is $5$ cents, what is $E$ and should you play?

Suppose that you roll two dice. You will be paid $ $7$ if you roll a double. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of rolling the dice? $ __________

Suppose that you have 8 quarters, 5 dimes, 7 nickels, and 5 pennies in your pocket. You reach in and choose a coin at random. What is the expected value? $ What type of coin is most likely to be picked?

Find the probability of the event with odds against it 100 to 1. $P ( E ) = \frac { ? } { ? }$

Find $P ( \bar { B } )$ if $P ( B ) = \frac { 9 } { 11 }$ .

Last year, 1,328 calculators were returned to the manufacturer. If 79,000 were produced, assign a number to specify the probability that a particular calculator would be returned. Give the probability in decimal form (correct to two decimal places). $p \approx$ __________