Question 1

Find the probability.
-A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of Drawing a face card or a 3?

Accepted Answer

A)  $\frac { 2 } { 13 }$ 
B)  $\frac { 4 } { 13 }$ 
C)  16 
D)  $\frac { 48 } { 52 }$ 
A)  $\frac { 2 } { 13 }$ 
B)  $\frac { 4 } { 13 }$ 
C)  16 
D)  $\frac { 48 } { 52 }$

Question 2

Solve the problem.
-Experience shows that a ski lodge will be full (168 guests) if there is a heavy snow fall in December, while only partially full (74 guests) with a light snow fall. What is the expected number Of guests if the probability for a heavy snow fall is 0.40?

Accepted Answer

A)  111.6 
B)  67.2 
C)  100.8 
D)  130.4 
A)  111.6 
B)  67.2 
C)  100.8 
D)  130.4

Question 3

Find the probability.
-A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a face Card or a 4?

Accepted Answer

A)  $\frac { 4 } { 13 }$ 
B)  $\frac { 2 } { 13 }$ 
C)  $\frac { 48 } { 52 }$ 
D)  16 
A)  $\frac { 4 } { 13 }$ 
B)  $\frac { 2 } { 13 }$ 
C)  $\frac { 48 } { 52 }$ 
D)  16

Question 4

Solve the problem.
-The odds against Carl beating his friend in a round of golf are 9 : 5. Find the probability that Carl Will beat his friend.

Accepted Answer

A)  $ \frac{9}{14} $ 
B)  $ \frac{1}{3} $ 
C)  $ \frac{5}{14} $ 
D)  $ \frac{5}{9} $ 
A)  $ \frac{9}{14} $ 
B)  $ \frac{1}{3} $ 
C)  $ \frac{5}{14} $ 
D)  $ \frac{5}{9} $

Question 5

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 all cherry candies.

Accepted Answer

A)  0.7272 
B)  0.3636 
C)  0.1212 
D)  0.1091 
A)  0.7272 
B)  0.3636 
C)  0.1212 
D)  0.1091

Question 6

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 Exactly 3 girls and 2 boys?

Accepted Answer

A)  0.6252 
B)  0.0313 
C)  0.0625 
D)  0.3125 
A)  0.6252 
B)  0.0313 
C)  0.0625 
D)  0.3125

Question 7

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. What is the probability that you have at least 2 cherry candies?

Accepted Answer

A)  0.3362 
B)  0.5758 
C)  0.1515 
D)  0.4909 
A)  0.3362 
B)  0.5758 
C)  0.1515 
D)  0.4909

Question 8

Find the probability.
-In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that exactly 2 are ethnic minorities. Round to the Nearest ten-thousandth.

Accepted Answer

A)  0.0028 
B)  0.1990 
C)  0.2156 
D)  0.1929 
A)  0.0028 
B)  0.1990 
C)  0.2156 
D)  0.1929

Question 9

Solve the problem.
-You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $48, Otherwise you lose $3. What is the price that you should pay to play the game that would make the Game fair?

Accepted Answer

A)  $7.50 
B)  $13 
C)  $14 
D)  $15 
A)  $7.50 
B)  $13 
C)  $14 
D)  $15

Question 10

Find the probability.
-A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of Getting exactly two twos. Round to the nearest thousandth when necessary.

Accepted Answer

A)  0.116 
B)  0.159 
C)  0.198 
D)  0.011 
A)  0.116 
B)  0.159 
C)  0.198 
D)  0.011

Question 11

Find the probability.
-A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of Getting exactly five twos. Round to the nearest thousandth when necessary.

Accepted Answer

A)  0.003 
B)  0.921 
C)  0.083 
D)  0.129 
A)  0.003 
B)  0.921 
C)  0.083 
D)  0.129

Question 12

Find the probability.
-A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of Getting exactly four twos. Round to the nearest thousandth when necessary.

Accepted Answer

A)  0.083 
B)  0.101 
C)  0.075 
D)  0.202 
A)  0.083 
B)  0.101 
C)  0.075 
D)  0.202

Question 13

Find the probability.
-A fair die is rolled. What is the probability of rolling an odd number or a number less than 3?

Accepted Answer

A)  1 
B)  $\frac { 5 } { 6 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 2 } { 3 }$ 
A)  1 
B)  $\frac { 5 } { 6 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 2 } { 3 }$

Question 14

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low.
-Four of a kind ( 4 cards of the same value)

Accepted Answer

A)  $\frac { 1 } { 4165 }$ 
B)  $\frac { 4 } { 4165 }$ 
C)  $\frac { 1 } { 4080 }$ 
D)  $\frac { 13 } { 49980 }$ 
A)  $\frac { 1 } { 4165 }$ 
B)  $\frac { 4 } { 4165 }$ 
C)  $\frac { 1 } { 4080 }$ 
D)  $\frac { 13 } { 49980 }$

Question 15

Find the probability.
-One card is selected from a deck of cards. Find the probability that the card selected is greater than 2 and less than 7.

Accepted Answer

A)  $\frac { 7 } { 26 }$ 
B)  $\frac { 5 } { 13 }$ 
C)  $\frac { 4 } { 13 }$ 
D)  $\frac { 9 } { 17 }$ 
A)  $\frac { 7 } { 26 }$ 
B)  $\frac { 5 } { 13 }$ 
C)  $\frac { 4 } { 13 }$ 
D)  $\frac { 9 } { 17 }$

Question 16

Use the counting principle to obtain the answer.
-A salesman packed 3 shirts and 6 ties. With one shirt, he could wear all 6 ties. With another shirt, He could wear 5 ties. With the third shirt, he could wear only 2 ties. How many different Combinations did he have?

Accepted Answer

A)  60 
B)  12 
C)  32 
D)  13 
A)  60 
B)  12 
C)  32 
D)  13

Question 17

Find the probability.
-A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds in favor of the Cube showing an odd number?

Accepted Answer

A)  3:2 
B)  1:2 
C)  1:1 
D)  2:1 
A)  3:2 
B)  1:2 
C)  1:1 
D)  2:1

Question 18

Solve the problem.
-The results of a medical test show that of 75 people selected at random who were given the test, 3 Tested positive and 72 tested negative. Determine the odds in favor of a person selected at random Testing positive on the test.

Accepted Answer

A)  1 : 24 
B)  24 : 1 
C) 25: 1 
D) 1 : 25 
A)  1 : 24 
B)  24 : 1 
C) 25: 1 
D) 1 : 25

Question 19

Use the table to find the probability.
-The following table indicates the preference for different types of soft drinks by three age groups. $\begin{array}{r|rrr} 
& \text { cola } & \text { root beer } & \text { lemon-lime } \
\hline \text { under 21 years of age } & 40 & 25 & 20 \
\text { between 21 and 40 } & 35 & 20 & 30 \
\text { over 40 years of age } & 20 & 30 & 35
\end{array}$

If a person is selected at random, find the probability that the person is over 40 and drinks cola.

Accepted Answer

A)  $\frac { 4 } { 19 }$ 
B)  $\frac { 4 } { 17 }$ 
C)  $\frac { 4 } { 51 }$ 
D)  None of the above is correct. 
A)  $\frac { 4 } { 19 }$ 
B)  $\frac { 4 } { 17 }$ 
C)  $\frac { 4 } { 51 }$ 
D)  None of the above is correct.

Question 20

Find the probability.
-A battery company has found that the defective rate of its batteries is 0.03. Each day, 22 batteries Are randomly tested. On Tuesday, 1 is found to be defective. Round to the nearest thousandth.

Accepted Answer

A)  0.110 
B)  0.614 
C)  0.118 
D)  0.348 
A)  0.110 
B)  0.614 
C)  0.118 
D)  0.348

Find the probability. -A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of Drawing a face card or a 3?

Solve the problem. -Experience shows that a ski lodge will be full (168 guests) if there is a heavy snow fall in December, while only partially full (74 guests) with a light snow fall. What is the expected number Of guests if the probability for a heavy snow fall is 0.40?

Find the probability. -A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a face Card or a 4?

Solve the problem. -The odds against Carl beating his friend in a round of golf are 9 : 5. Find the probability that Carl Will beat his friend.

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 all cherry candies.

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 Exactly 3 girls and 2 boys?

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. What is the probability that you have at least 2 cherry candies?

Find the probability. -In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that exactly 2 are ethnic minorities. Round to the Nearest ten-thousandth.

Solve the problem. -You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $48, Otherwise you lose $3. What is the price that you should pay to play the game that would make the Game fair?

Find the probability. -A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of Getting exactly two twos. Round to the nearest thousandth when necessary.

Find the probability. -A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of Getting exactly five twos. Round to the nearest thousandth when necessary.

Find the probability. -A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of Getting exactly four twos. Round to the nearest thousandth when necessary.

Find the probability. -A fair die is rolled. What is the probability of rolling an odd number or a number less than 3?

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low. -Four of a kind ( 4 cards of the same value)

Find the probability. -One card is selected from a deck of cards. Find the probability that the card selected is greater than 2 and less than 7.

Use the counting principle to obtain the answer. -A salesman packed 3 shirts and 6 ties. With one shirt, he could wear all 6 ties. With another shirt, He could wear 5 ties. With the third shirt, he could wear only 2 ties. How many different Combinations did he have?

Find the probability. -A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds in favor of the Cube showing an odd number?

Solve the problem. -The results of a medical test show that of 75 people selected at random who were given the test, 3 Tested positive and 72 tested negative. Determine the odds in favor of a person selected at random Testing positive on the test.

Find the probability. -A battery company has found that the defective rate of its batteries is 0.03. Each day, 22 batteries Are randomly tested. On Tuesday, 1 is found to be defective. Round to the nearest thousandth.

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Exam 11: Probability