Question 1

Find the probability.
-Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is 3?

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  2 
C)  $\frac { 1 } { 18 }$ 
D)  $\frac { 17 } { 18 }$ 
A)  $\frac { 1 } { 2 }$ 
B)  2 
C)  $\frac { 1 } { 18 }$ 
D)  $\frac { 17 } { 18 }$

Question 2

Find the probability.
-One digit from the number 7,939,449 is written on each of seven cards. What is the probability of Drawing a card that shows 7 or 4?

Accepted Answer

A)  $\frac { 9 } { 7 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  1 
D)  $\frac { 2 } { 7 }$ 
A)  $\frac { 9 } { 7 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  1 
D)  $\frac { 2 } { 7 }$

Question 3

Solve the problem.
-Three coins are tossed 80 times and the number of heads is observed. $\begin{array}{l|cccc}
\text { Outcome } & \text { no heads } & \text { one head } & \text { two heads } & \text { three heads } \
\hline \text { Frequency } & 45 & 12 & 23 & 0
\end{array}$

Compute the empirical probability that at most two heads occur.

Accepted Answer

A)  $\frac { 57 } { 2 }$ 
B)  $\frac { 3 } { 4 }$ 
C)  1 
D)  $\frac { 7 } { 18 }$ 
A)  $\frac { 57 } { 2 }$ 
B)  $\frac { 3 } { 4 }$ 
C)  1 
D)  $\frac { 7 } { 18 }$

Question 4

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low.
-Full house ( 3 cards of one value, 2 of another value)

Accepted Answer

A)  $\frac { 3 } { 4165 }$ 
B)  $\frac { 6 } { 4165 }$ 
C)  $\frac { 1 } { 4165 }$ 
D)  $\frac { 9 } { 4165 }$ 
A)  $\frac { 3 } { 4165 }$ 
B)  $\frac { 6 } { 4165 }$ 
C)  $\frac { 1 } { 4165 }$ 
D)  $\frac { 9 } { 4165 }$

Question 5

Evaluate the expression.
-$14 ^ { \mathrm { P } _ { 4 } }$

Accepted Answer

A)  1001 
B)  $\frac { 7 } { 2 }$ 
C)  $3,632,428,800$ 
D)  24,024 
A)  1001 
B)  $\frac { 7 } { 2 }$ 
C)  $3,632,428,800$ 
D)  24,024

Question 6

Solve the problem.
-If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.04, what are the odds in favor of a direct hit?

Accepted Answer

A)  1 to 23 
B)  24 to 1 
C) 1 to 25 
D)  1 to 24 
A)  1 to 23 
B)  24 to 1 
C) 1 to 25 
D)  1 to 24

Question 7

Find the probability.
-A die is rolled 18 times and two threes come up. Round to the nearest thousandth.

Accepted Answer

A)  0.230 
B)  0.060 
C)  0.160 
D)  0.099 
A)  0.230 
B)  0.060 
C)  0.160 
D)  0.099

Question 8

Find the probability
-Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue Marble. Find the probability that both marbles are white.

Accepted Answer

A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 3 } { 28 }$ 
C)  $\frac { 3 } { 32 }$ 
D)  $\frac { 9 } { 56 }$ 
A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 3 } { 28 }$ 
C)  $\frac { 3 } { 32 }$ 
D)  $\frac { 9 } { 56 }$

Question 9

Solve the problem.
-A bag contains 7 apples and 5 oranges. If you select 6 pieces of fruit without looking, how many Ways can you get exactly 5 apples?

Accepted Answer

A)  1050 
B)  210 
C)  42 
D)  105 
A)  1050 
B)  210 
C)  42 
D)  105

Find the probability. -Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is 3?

Find the probability. -One digit from the number 7,939,449 is written on each of seven cards. What is the probability of Drawing a card that shows 7 or 4?

Solve the problem. -Three coins are tossed 80 times and the number of heads is observed. Outcome no heads one head two heads three heads Frequency 45 12 23 0 Compute the empirical probability that at most two heads occur.

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low. -Full house ( 3 cards of one value, 2 of another value)

Evaluate the expression. - $14 ^ { \mathrm { P } _ { 4 } }$

Solve the problem. -If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.04, what are the odds in favor of a direct hit?

Find the probability. -A die is rolled 18 times and two threes come up. Round to the nearest thousandth.

Find the probability -Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue Marble. Find the probability that both marbles are white.

Solve the problem. -A bag contains 7 apples and 5 oranges. If you select 6 pieces of fruit without looking, how many Ways can you get exactly 5 apples?

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