Question 1

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

Accepted Answer

A)  0.2009 
B)  0.0621 
C)  0.5681 
D)  0.7182 
A)  0.2009 
B)  0.0621 
C)  0.5681 
D)  0.7182

Question 2

Find the probability.
-The probability that a radish seed will germinate is 0.7. The gardener plants 20 seeds and she Harvests 16 radishes. Round to the nearest thousandth.

Accepted Answer

A)  0.068 
B)  0.571 
C)  0.130 
D)  0.075 
A)  0.068 
B)  0.571 
C)  0.130 
D)  0.075

Question 3

Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x). Round to four decimal places.
-n = 9, x = 7, p = 0.3

Accepted Answer

A)  0.0039 
B)  0.0050 
C)  0.0042 
D)  0.0037 
A)  0.0039 
B)  0.0050 
C)  0.0042 
D)  0.0037

Question 4

Solve the problem.
-One card is selected from a deck of cards. Find the probability of selecting a red card or a heart .

Accepted Answer

A)  34 
B)  14 
C)  12 
D)  0 
A)  34 
B)  14 
C)  12 
D)  0

Question 5

Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building. 45 -minute tours are offered at each attraction hourly from 10 a.m. through 3 p.m. (6 different hours). Solve the problem, disregarding travel time .
-In how many ways can the traveler visit all three places in one day?

Accepted Answer

A)  15 
B)  30 
C)  120 
D)  60 
A)  15 
B)  30 
C)  120 
D)  60

Question 6

Solve the problem.
-If a license plate consists of four digits, how many different licenses could be created having at Least one digit repeated.

Accepted Answer

A)  10,000 
B)  5040 
C)  4960 
D)  3024 
A)  10,000 
B)  5040 
C)  4960 
D)  3024

Question 7

Solve the problem.
-If two cards are drawn without replacement from a deck, find the probability that the second card Is a spade, given that the first card was a spade.

Accepted Answer

A)  174 
B)  133 
C)  1112 
D)  1151 
A)  174 
B)  133 
C)  1112 
D)  1151

Question 8

Solve the problem.
-Assume that you have a car worth $6000 and you wish to insure it for its full replacement value if It is stolen. If there is a 2% chance that the car will be stolen, what would a fair premium price be?

Accepted Answer

A)  $107.41 
B)  $134.77 
C)  $122.45 
D)  $126.45 
A)  $107.41 
B)  $134.77 
C)  $122.45 
D)  $126.45

Question 9

Find the probability
-Elise has put 5 cans (all of the same size) on her kitchen counter; 2 cans of vegetables, 2 cans of Soup , and 1 can of peaches. Her son, Ryan, takes the labels off the cans and throws them away. Elise then chooses 2 cans (without replacement) at random to open. Find the probability that she Will open at least 1 can of soup.

Accepted Answer

A)  $\frac { 3 } { 5 }$ 
B)  $\frac { 9 } { 10 }$ 
C)  $\frac { 7 } { 10 }$ 
D)  $\frac { 4 } { 5 }$ 
A)  $\frac { 3 } { 5 }$ 
B)  $\frac { 9 } { 10 }$ 
C)  $\frac { 7 } { 10 }$ 
D)  $\frac { 4 } { 5 }$

Question 10

Answer the question.
-How you would find the empirical probability of rolling a 5 on a die?

Accepted Answer

A)  Roll a die 1 time and then find the relative frequency of rolling a 5. The relative frequency would be obtained by dividing the number of times a 5 has occurred by 1. 
B)  Roll a die many times and then find the relative frequency of rolling a 5. The relative frequency would be obtained by dividing the number of times a 5 has occurred by the total Number of times the die was tossed. 
C)  The empirical probability cannot be determined. 
D)  Roll a die 6 times and then find the relative frequency of rolling a 5. The relative frequency would be obtained by dividing the number of times a 5 has occurred by 6. 
A)  Roll a die 1 time and then find the relative frequency of rolling a 5. The relative frequency would be obtained by dividing the number of times a 5 has occurred by 1. 
B)  Roll a die many times and then find the relative frequency of rolling a 5. The relative frequency would be obtained by dividing the number of times a 5 has occurred by the total Number of times the die was tossed. 
C)  The empirical probability cannot be determined. 
D)  Roll a die 6 times and then find the relative frequency of rolling a 5. The relative frequency would be obtained by dividing the number of times a 5 has occurred by 6.

Question 11

Evaluate the expression.
-$\frac { 9 ^ { C _ { 3 } } } { { } _ { 9 } P _ { 3 } }$

Accepted Answer

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

Question 12

Solve the problem.
-A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different License plates possible if the first letter must be an N , M , or P and repetition of letters and Numbers is not permitted.

Accepted Answer

A)  272,160,000 
B)  9,072,000 
C)  54,522,000 
D)  54,432,000 
A)  272,160,000 
B)  9,072,000 
C)  54,522,000 
D)  54,432,000

Question 13

Find the probability.
-The chart below gives the number of vehicle tags sold in each city. $$\begin{array} { l | c } 
\text { City } & \text { Number of Vehicle Tags Sold } \
\hline \text { Bristol } & 1,863 \
\hline \text { Trevor } & 3407 \
\hline \text { Camp Lake } & 2,457 \
\hline \text { Salem } & 1636 \
\hline \text { Paddock Lake } & 2,541
\end{array}$$ One car is selected at random from the cars with vehicle tags from these cities. What is the Probability that this car is from Salem? Round to the nearest ten-thousandth.

Accepted Answer

A)  0.2119 
B)  0.1593 
C)  0.1553 
D)  0.1374 
A)  0.2119 
B)  0.1593 
C)  0.1553 
D)  0.1374

Question 14

Solve the problem.
-License plates are made using 3 letters followed by 3 digits. How many plates can be made if Repetition of letters and digits is allowed?

Accepted Answer

A)  1,757,600 
B)  308,915,776 
C)  1,000,000 
D)  17,576,000 
A)  1,757,600 
B)  308,915,776 
C)  1,000,000 
D)  17,576,000

Question 15

Solve the problem.
-How many different three-digit numbers can be written using digits from the set {1, 2, 3, 4, 5} Without any repeating digits?

Accepted Answer

A)  20 
B)  120 
C)  10 
D)  60 
A)  20 
B)  120 
C)  10 
D)  60

Question 16

Find the probability.
-Determine the probability that the spinner lands on white.

Accepted Answer

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

Question 17

Solve the problem.
-If you toss five fair coins, in how many ways can you obtain at least one head?

Accepted Answer

A)  31 
B)  15 
C)  32 
D)  16 
A)  31 
B)  15 
C)  32 
D)  16

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 No more than 3 boys?

Accepted Answer

A)  0.5 
B)  0.8125 
C)  0.3125 
D)  0.9688 
A)  0.5 
B)  0.8125 
C)  0.3125 
D)  0.9688

Question 19

Solve the problem.
-A pair of fair dice is rolled 50 times and the sum of the dots on the faces is noted. $\begin{array}{l|lllllllllll}
\text { Outcome } & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \
\hline \text { Frequency } & 5 & 11 & 4 & 1 & 8 & 8 & 2 & 9 & 1 & 1 & 0
\end{array}$

Compute the empirical probability that the sum rolled is greater than $9 .$

Accepted Answer

A)  $\frac { 9 } { 50 }$ 
B)  $\frac { 11 } { 50 }$ 
C)  $\frac { 1 } { 25 }$ 
D)  $\frac { 1 } { 6 }$ 
A)  $\frac { 9 } { 50 }$ 
B)  $\frac { 11 } { 50 }$ 
C)  $\frac { 1 } { 25 }$ 
D)  $\frac { 1 } { 6 }$

Question 20

Evaluate the expression.
-10!

Accepted Answer

A)  1,814,400 
B)  3,628,800 
C)  362,880 
D)  7,257,600 
A)  1,814,400 
B)  3,628,800 
C)  362,880 
D)  7,257,600

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

Find the probability. -The probability that a radish seed will germinate is 0.7. The gardener plants 20 seeds and she Harvests 16 radishes. Round to the nearest thousandth.

Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x). Round to four decimal places. -n = 9, x = 7, p = 0.3

Solve the problem. -One card is selected from a deck of cards. Find the probability of selecting a red card or a heart .

Solve the problem. -If a license plate consists of four digits, how many different licenses could be created having at Least one digit repeated.

Solve the problem. -If two cards are drawn without replacement from a deck, find the probability that the second card Is a spade, given that the first card was a spade.

Solve the problem. -Assume that you have a car worth $6000 and you wish to insure it for its full replacement value if It is stolen. If there is a 2% chance that the car will be stolen, what would a fair premium price be?

Answer the question. -How you would find the empirical probability of rolling a 5 on a die?

Evaluate the expression. - $\frac { 9 ^ { C _ { 3 } } } { { } _ { 9 } P _ { 3 } }$

Solve the problem. -A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different License plates possible if the first letter must be an N , M , or P and repetition of letters and Numbers is not permitted.

Solve the problem. -License plates are made using 3 letters followed by 3 digits. How many plates can be made if Repetition of letters and digits is allowed?

Solve the problem. -How many different three-digit numbers can be written using digits from the set {1, 2, 3, 4, 5} Without any repeating digits?

Find the probability. -Determine the probability that the spinner lands on white.

Solve the problem. -If you toss five fair coins, in how many ways can you obtain at least one head?

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 No more than 3 boys?

Solve the problem. -A pair of fair dice is rolled 50 times and the sum of the dots on the faces is noted. Outcome 2 3 4 5 6 7 8 9 10 11 12 Frequency 5 11 4 1 8 8 2 9 1 1 0 Compute the empirical probability that the sum rolled is greater than $9 .$

Evaluate the expression. -10!

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Exam 11: Probability