Question 1

Solve the problem.
-How many ways can a committee of 2 be selected from a club with 12 members?

Accepted Answer

A)  2 
B)  66 
C)  132 
D)  33 
A)  2 
B)  66 
C)  132 
D)  33

Question 2

Find the probability.
-One digit from the number 4,161,881 is written on each of seven cards. What is the probability of Drawing a card that shows 4 or 8?

Accepted Answer

A)  $\frac { 2 } { 7 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 4 } { 7 }$ 
A)  $\frac { 2 } { 7 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  $\frac { 1 } { 7 }$ 
D)  $\frac { 4 } { 7 }$

Question 3

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 could the traveler schedule all three tours before 1 p.m.?

Accepted Answer

A)  6 
B)  1 
C)  9 
D)  3 
A)  6 
B)  1 
C)  9 
D)  3

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. What is the probability that you have at least 1 lemon candy?

Accepted Answer

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

Question 5

Find the probability.
-  What are the odds in favor of spinning a D on this spinner?

Accepted Answer

A)  1:7 
B)  5:1 
C)  6:1 
D)  1:6 
A)  1:7 
B)  5:1 
C)  6:1 
D)  1:6

Question 6

Solve the problem.
-If 2 cards are drawn from a deck of 52 cards, what is the expected number of spades?

Accepted Answer

A)  0.25 
B)  0.47 
C)  0.50 
D)  0.75 
A)  0.25 
B)  0.47 
C)  0.50 
D)  0.75

Question 7

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability.
-The second marble is blue given the first marble is blue.

Accepted Answer

A)  $\frac { 1 } { 28 }$ 
B)  $\frac { 1 } { 7 }$ 
C)  0 
D)  $\frac { 1 } { 8 }$ 
A)  $\frac { 1 } { 28 }$ 
B)  $\frac { 1 } { 7 }$ 
C)  0 
D)  $\frac { 1 } { 8 }$

Question 8

Solve the problem.
-The chart shows winnings, in dollars, for the 10 highest-rated FASTCAR drivers for last driving Season. $$\begin{array} { l | l } 
\text { Driver } & \text { Winnings } \
\hline \text { Rick Bobby } & \$ 6,320,849 \
\text { Maverick St. Joseph } & \$ 5,198,600 \
\text { Johnny Wright } & \$ 2,140,478 \
\text { Jay Smith } & \$ 4,606,127 \
\text { William Rock } & \$ 2,951,951 \
\text { Bob Ricky } & \$ 4,020,078 \
\text { Jimmy Novak } & \$ 4,420,069 \
\text { Tommy Keefe } & \$ 5,501,450 \
\text { Tyler Jones } & \$ 3,153,196
\end{array}$$
If one of the drivers listed in the chart is selected at random, determine the odds against the driver Earning more than $4 million last season.

Accepted Answer

A)  9 : 3 
B) 3 : 6 
C) 6: 3 
D) 3 : 9 
A)  9 : 3 
B) 3 : 6 
C) 6: 3 
D) 3 : 9

Question 9

Estimate the indicated probability.
-A survey was done at a mall in which 5000 customers were asked what type of credit card they Used most often. The results of the survey are shown in the figure below:  
Determine the empirical probability that a person selected at random from the 5000 surveyed uses Mastercard. Round to the nearest thousandth when necessary.

Accepted Answer

A)  0.345 
B)  1.059 
C)  0.358 
D)  0.0358 
A)  0.345 
B)  1.059 
C)  0.358 
D)  0.0358

Question 10

Solve the problem.
-If you toss six fair coins, in how many ways can you obtain at least two heads?

Accepted Answer

A)  64 
B)  57 
C)  58 
D)  63 
A)  64 
B)  57 
C)  58 
D)  63

Question 11

Find the probability
-If 82% of scheduled flights actually take place and cancellations are independent events, what is The probability that 3 separate flights will take place? Round to the nearest hundredth.

Accepted Answer

A)  0.82 
B)  0.67 
C)  0.55 
D)  0.01 
A)  0.82 
B)  0.67 
C)  0.55 
D)  0.01

Question 12

Solve the problem.
-A baseball manager has 11 players of the same ability. How many 9 player starting lineups can he Create?

Accepted Answer

A)  55 
B)  99 
C)  362,880 
D)  19,958,400 
A)  55 
B)  99 
C)  362,880 
D)  19,958,400

Question 13

Solve the problem.
-The odds against Chip beating his friend in a round of golf are 1 : 6. Find the probability that Chip Will beat his friend.

Accepted Answer

A)  $ \frac{6}{7} $ 
B)  $ \frac{1}{8} $ 
C)  $ \frac{3}{4} $ 
D)  $ \frac{1}{7} $ 
A)  $ \frac{6}{7} $ 
B)  $ \frac{1}{8} $ 
C)  $ \frac{3}{4} $ 
D)  $ \frac{1}{7} $

Question 14

Solve the problem.
-In a certain animal species, the probability that a female will have 0, 1, 2, 3, or 4 offspring in a Given year is 0.31, 0.21, 0.19, 0.17, and 0.12 respectively. Find the expected number of offspring.

Accepted Answer

A)  1.75 
B)  2 
C)  1.38 
D)  1.58 
A)  1.75 
B)  2 
C)  1.38 
D)  1.58

Question 15

Find the probability
-An IRS auditor randomly selects 3 tax returns (without replacement) from 47 returns of which 11 Contain errors. What is the probability that she selects none of those containing errors?

Accepted Answer

A)  0.4403 
B)  0.0102 
C)  0.0128 
D)  0.4494 
A)  0.4403 
B)  0.0102 
C)  0.0128 
D)  0.4494

Question 16

Find the probability.
-When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either Doubles are rolled or the sum of the dice is 6.

Accepted Answer

A)  $\frac { 11 } { 36 }$ 
B)  $\frac { 1 } { 36 }$ 
C)  $\frac { 5 } { 18 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $\frac { 11 } { 36 }$ 
B)  $\frac { 1 } { 36 }$ 
C)  $\frac { 5 } { 18 }$ 
D)  $\frac { 1 } { 4 }$

Question 17

Find the probability
-A basketball player hits three-point shots 42% of the time. If she takes 4 shots during a game, what Is the probability that she hits all 4 shots? Round to the nearest tenth of a percent when necessary.

Accepted Answer

A)  10.5% 
B)  42% 
C)  84% 
D)  3.1% 
A)  10.5% 
B)  42% 
C)  84% 
D)  3.1%

Question 18

Find the probability.
-  What are the odds in favor of drawing an even number from these cards?

Accepted Answer

A)  3:2 
B)  2:5 
C)  5:2 
D)  2:3 
A)  3:2 
B)  2:5 
C)  5:2 
D)  2:3

Question 19

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

Accepted Answer

A)  $\frac { 12 } { 51 }$ 
B)  $\frac { 15 } { 51 }$ 
C)  $\frac { 11 } { 51 }$ 
D)  $\frac { 3 } { 13 }$ 
A)  $\frac { 12 } { 51 }$ 
B)  $\frac { 15 } { 51 }$ 
C)  $\frac { 11 } { 51 }$ 
D)  $\frac { 3 } { 13 }$

Question 20

Find the probability.
-If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore Leap years.

Accepted Answer

A)  $\frac { 31 } { 365 }$ 
B)  $\frac { 334 } { 365 }$ 
C)  $\frac { 11 } { 12 }$ 
D)  $\frac { 31 } { 334 }$ 
A)  $\frac { 31 } { 365 }$ 
B)  $\frac { 334 } { 365 }$ 
C)  $\frac { 11 } { 12 }$ 
D)  $\frac { 31 } { 334 }$

Solve the problem. -How many ways can a committee of 2 be selected from a club with 12 members?

Find the probability. -One digit from the number 4,161,881 is written on each of seven cards. What is the probability of Drawing a card that shows 4 or 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. What is the probability that you have at least 1 lemon candy?

Find the probability. - What are the odds in favor of spinning a D on this spinner?

Solve the problem. -If 2 cards are drawn from a deck of 52 cards, what is the expected number of spades?

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability. -The second marble is blue given the first marble is blue.

Solve the problem. -If you toss six fair coins, in how many ways can you obtain at least two heads?

Find the probability -If 82% of scheduled flights actually take place and cancellations are independent events, what is The probability that 3 separate flights will take place? Round to the nearest hundredth.

Solve the problem. -A baseball manager has 11 players of the same ability. How many 9 player starting lineups can he Create?

Solve the problem. -The odds against Chip beating his friend in a round of golf are 1 : 6. Find the probability that Chip Will beat his friend.

Solve the problem. -In a certain animal species, the probability that a female will have 0, 1, 2, 3, or 4 offspring in a Given year is 0.31, 0.21, 0.19, 0.17, and 0.12 respectively. Find the expected number of offspring.

Find the probability -An IRS auditor randomly selects 3 tax returns (without replacement) from 47 returns of which 11 Contain errors. What is the probability that she selects none of those containing errors?

Find the probability. -When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either Doubles are rolled or the sum of the dice is 6.

Find the probability -A basketball player hits three-point shots 42% of the time. If she takes 4 shots during a game, what Is the probability that she hits all 4 shots? Round to the nearest tenth of a percent when necessary.

Find the probability. - What are the odds in favor of drawing an even number from these cards?

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

Find the probability. -If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore Leap years.

Critical Thinking Skills

Sets

Logic

Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Voting and Apportionment

Filters

Exam 11: Probability