Question 1

Find the probability.
-  What are the odds in favor of drawing a 5 from these cards?

Accepted Answer

A)  5:1 
B)  1:5 
C)  4:1 
D)  1:4 
A)  5:1 
B)  1:5 
C)  4:1 
D)  1:4

Question 2

Solve the problem.
-Bob and Fred play the following game. Bob rolls a single die. If an even number results, Bob must Pay Fred the number of dollars indicated by the number rolled. On the other hand, if an odd Number is rolled, Fred must pay Bob the number of dollars indicated by the number rolled. Find Bobʹs expectation.

Accepted Answer

A)  $0.00 
B)  $0.40 
C)  -$0.50 
D)  -$0.25 
A)  $0.00 
B)  $0.40 
C)  -$0.50 
D)  -$0.25

Question 3

Find the probability
-Find the probability of correctly answering the first 3 questions on a multiple choice test if random Guesses are made and each question has 5 possible answers.

Accepted Answer

A)  $\frac { 1 } { 243 }$ 
B)  $\frac { 1 } { 125 }$ 
C)  $\frac { 5 } { 3 }$ 
D)  $\frac { 3 } { 5 }$ 
A)  $\frac { 1 } { 243 }$ 
B)  $\frac { 1 } { 125 }$ 
C)  $\frac { 5 } { 3 }$ 
D)  $\frac { 3 } { 5 }$

Question 4

Find the probability. Round to the nearest ten-thousandth when necessary.
-A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at Random. Find the probability that you have 1 cherry candy and 2 lemon candies.

Accepted Answer

A)  0.0303 
B)  0.0364 
C)  0.0424 
D)  0.3636 
A)  0.0303 
B)  0.0364 
C)  0.0424 
D)  0.3636

Question 5

Evaluate the expression.
-$${ } _ { 8 } \mathrm { P } _ { 0 }$$

Accepted Answer

A)  0.5 
B)  1 
C)  80,640 
D)  40,320 
A)  0.5 
B)  1 
C)  80,640 
D)  40,320

Question 6

Find the probability.
-A child rolls a 6-sided die 6 times. What is the probability of the child rolling exactly three sixes? Round to the nearest ten-thousandth.

Accepted Answer

A)  0.0536 
B)  0.5362 
C)  0.4441 
D)  0.0594 
A)  0.0536 
B)  0.5362 
C)  0.4441 
D)  0.0594

Question 7

Solve the problem.
-If the police have 8 suspects, how many different ways can they select 5 for a lineup?

Accepted Answer

A)  336 
B)  40 
C)  6720 
D)  56 
A)  336 
B)  40 
C)  6720 
D)  56

Question 8

Find the probability. Round to the nearest ten-thousandth when necessary.
-A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at Random. Find the probability that you have one candy of each flavor.

Accepted Answer

A)  0.3636 
B)  0.2182 
C)  0.0667 
D)  0.1818 
A)  0.3636 
B)  0.2182 
C)  0.0667 
D)  0.1818

Question 9

Solve the problem.
-Two coins are tossed 20 times and the number of tails is observed. $\begin{array}{l|ccc}
\text { Outcome } & 2 \text { tails } & 1 \text { tail } & 0 \text { tails } \
\hline \text { Frequency } & 1 & 0 & 19
\end{array}$

Compute the empirical probability that exactly one tail occurred.

Accepted Answer

A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 19 } { 20 }$ 
C)  0 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 19 } { 20 }$ 
C)  0 
D)  $\frac { 1 } { 2 }$

Question 10

Use the counting principle to obtain the answer.
-A local department store sold carpets in 4 sizes. Each carpet came in 3 qualities. One size of carpet Came in 7 colors. The other sizes came in 3 colors. How many choices of carpet were there?

Accepted Answer

A)  48 
B)  55 
C)  57 
D)  52 
A)  48 
B)  55 
C)  57 
D)  52

Question 11

Find the probability
-If a fair coin is tossed three times, find the probability of getting heads on the first toss and tails on The second and third tosses.

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 3 } { 8 }$ 
A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 3 } { 8 }$

Question 12

Find the probability.
-The kings are separated from a deck of standard playing cards and shuffled. One king is randomly Selected. What are the odds in favor of drawing a black card?

Accepted Answer

A)  1 to 2 
B) 1 to 4 
C) 4 to 1 
D) 1 to 1 
A)  1 to 2 
B) 1 to 4 
C) 4 to 1 
D) 1 to 1

Question 13

Solve the problem.
-Bob is planning to pack 6 shirts and 4 pairs of pants for a trip. If he has 10 shirts and 10 pairs of Pants to choose from, in how many different ways can this be done?

Accepted Answer

A)  44,190 
B)  43,860 
C)  44,158 
D)  44,100 
A)  44,190 
B)  43,860 
C)  44,158 
D)  44,100

Question 14

Solve the problem.
-A couple plans to have four children. Using a tree diagram , obtain the sample space. Then, find The probability that the family has at least one boy.

Accepted Answer

A)  $\frac { 15 } { 16 }$ 
B)  $\frac { 3 } { 4 }$ 
C)  1 
D)  $\frac { 13 } { 16 }$ 
A)  $\frac { 15 } { 16 }$ 
B)  $\frac { 3 } { 4 }$ 
C)  1 
D)  $\frac { 13 } { 16 }$

Question 15

An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul.
-In how many ways can the awards be presented so that Maria and Olivia will be next to each
Other?

Accepted Answer

A)  1,440 
B)  1,680 
C)  720 
D)  1,220 
A)  1,440 
B)  1,680 
C)  720 
D)  1,220

Question 16

Answer the question.
-A a single card is chosen at random from a deck of 52 cards, the probability that a face card ( Jack, Queen, King) is selected is $\frac { 3 } { 13 }$. Does this probability mean that, if you choose a card at random 13 times, a face card will appear 3 times? If not, what does it mean?

Accepted Answer

A)  Yes. 
B)  No, it means that if a card was chosen at random from a deck of 52 cards many times, about $\frac { 3 } { 13 }$ of the outcomes would be face cards. 
C)  No, a probability of $\frac { 3 } { 13 }$ tells us nothing. 
D)  No, it means that if a card was chosen at random from a deck of 52 cards exactly 52 times, exactly 12 outcomes would be face cards. 
A)  Yes. 
B)  No, it means that if a card was chosen at random from a deck of 52 cards many times, about $\frac { 3 } { 13 }$ of the outcomes would be face cards. 
C)  No, a probability of $\frac { 3 } { 13 }$ tells us nothing. 
D)  No, it means that if a card was chosen at random from a deck of 52 cards exactly 52 times, exactly 12 outcomes would be face cards.

Question 17

Solve the problem.
-An insurance company has written 62 policies of $50,000, 455 of $25,000, and 908 of $10,000 on People of age 20. If the probability that a person will die at age 20 is 0.001, how much can the Company expect to pay during the year the policies were written?

Accepted Answer

A)  $2356 
B)  $23,555 
C)  $235,550 
D)  $0 
A)  $2356 
B)  $23,555 
C)  $235,550 
D)  $0

Question 18

Find the probability. Round to the nearest ten-thousandth when necessary.
-A family has five children. The probability of having a girl is 1/2. What is the probability of having At least 4 girls?

Accepted Answer

A)  0.1563 
B)  0.0313 
C)  0.3125 
D)  0.1875 
A)  0.1563 
B)  0.0313 
C)  0.3125 
D)  0.1875

Question 19

Find the probability.
-A 6-sided die is rolled. What is the probability of rolling a 3 or a 6 ?

Accepted Answer

A)  2 
B)  $\frac { 1 } { 36 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  2 
B)  $\frac { 1 } { 36 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 1 } { 3 }$

Question 20

Solve the problem.
-A company estimates that it has a 30% chance of being successful in bidding on a $40,000 contract. If it costs $6000 in consultant fees to prepare the bid, what is the expected gain or loss for the Company if it decides to bid on this contract?

Accepted Answer

A)  $6000.00 
B)  $17,017.92 
C)  $17,380.58 
D)  $17,200.43 
A)  $6000.00 
B)  $17,017.92 
C)  $17,380.58 
D)  $17,200.43

Find the probability. - What are the odds in favor of drawing a 5 from these cards?

Find the probability -Find the probability of correctly answering the first 3 questions on a multiple choice test if random Guesses are made and each question has 5 possible answers.

Find the probability. Round to the nearest ten-thousandth when necessary. -A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at Random. Find the probability that you have 1 cherry candy and 2 lemon candies.

Evaluate the expression. - ${ } _ { 8 } \mathrm { P } _ { 0 }$

Find the probability. -A child rolls a 6-sided die 6 times. What is the probability of the child rolling exactly three sixes? Round to the nearest ten-thousandth.

Solve the problem. -If the police have 8 suspects, how many different ways can they select 5 for a lineup?

Find the probability. Round to the nearest ten-thousandth when necessary. -A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at Random. Find the probability that you have one candy of each flavor.

Solve the problem. -Two coins are tossed 20 times and the number of tails is observed. Outcome 2 tails 1 tail 0 tails Frequency 1 0 19 Compute the empirical probability that exactly one tail occurred.

Use the counting principle to obtain the answer. -A local department store sold carpets in 4 sizes. Each carpet came in 3 qualities. One size of carpet Came in 7 colors. The other sizes came in 3 colors. How many choices of carpet were there?

Find the probability -If a fair coin is tossed three times, find the probability of getting heads on the first toss and tails on The second and third tosses.

Find the probability. -The kings are separated from a deck of standard playing cards and shuffled. One king is randomly Selected. What are the odds in favor of drawing a black card?

Solve the problem. -Bob is planning to pack 6 shirts and 4 pairs of pants for a trip. If he has 10 shirts and 10 pairs of Pants to choose from, in how many different ways can this be done?

Solve the problem. -A couple plans to have four children. Using a tree diagram , obtain the sample space. Then, find The probability that the family has at least one boy.

An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. -In how many ways can the awards be presented so that Maria and Olivia will be next to each Other?

Solve the problem. -An insurance company has written 62 policies of $50,000, 455 of $25,000, and 908 of $10,000 on People of age 20. If the probability that a person will die at age 20 is 0.001, how much can the Company expect to pay during the year the policies were written?

Find the probability. Round to the nearest ten-thousandth when necessary. -A family has five children. The probability of having a girl is 1/2. What is the probability of having At least 4 girls?

Find the probability. -A 6-sided die is rolled. What is the probability of rolling a 3 or a 6 ?

Solve the problem. -A company estimates that it has a 30% chance of being successful in bidding on a $40,000 contract. If it costs $6000 in consultant fees to prepare the bid, what is the expected gain or loss for the Company if it decides to bid on this contract?

Critical Thinking Skills

Sets

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Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Voting and Apportionment

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Exam 11: Probability