Question 1

Solve the problem.
-A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many Ways can you get 4 oranges?

Accepted Answer

A)  0 
B)  8 
C)  5 
D)  15 
A)  0 
B)  8 
C)  5 
D)  15

Question 2

Use the counting principle to obtain the answer.
-A saleswoman packed 3 jackets and 6 skirts. With one jacket, she could wear all 6 skirts. With Another jacket, she could wear 5 skirts. With the third jacket, she could wear only 2 skirts. How Many different combinations did she have?

Accepted Answer

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

Question 3

Find the probability.
-A child rolls a 6-sided die 6 times. What is the probability of the child rolling no more than three Twos? Round to the nearest ten-thousandth.

Accepted Answer

A)  0.3812 
B)  0.6774 
C)  0.9913 
D)  0.9649 
A)  0.3812 
B)  0.6774 
C)  0.9913 
D)  0.9649

Question 4

Find the probability.
- 
What is the probability that the arrow will land on 3 or 5 ?

Accepted Answer

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

Question 5

Evaluate the expression.
-${ } _ { 9 } \mathrm { P } _ { 6 }$

Accepted Answer

A)  30,240 
B)  60,480 
C)  12 
D)  504 
A)  30,240 
B)  60,480 
C)  12 
D)  504

Question 6

Solve the problem.
-One card is selected from a deck of cards. Find the probability of selecting a red card or a card less Than 4. (Note: The ace is considered a low card.)

Accepted Answer

A)  $\frac { 8 } { 13 }$ 
B)  $\frac { 17 } { 26 }$ 
C)  $\frac { 35 } { 52 }$ 
D)  $\frac { 15 } { 26 }$ 
A)  $\frac { 8 } { 13 }$ 
B)  $\frac { 17 } { 26 }$ 
C)  $\frac { 35 } { 52 }$ 
D)  $\frac { 15 } { 26 }$

Question 7

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

Accepted Answer

A)  0.5360 
B)  0.0080 
C)  0.3125 
D)  0.9688 
A)  0.5360 
B)  0.0080 
C)  0.3125 
D)  0.9688

Question 8

Solve the problem.
-A couple plans to have four children. Using a tree diagram , obtain the sample space. List the Elements that make up the sample space. (Use ʺBʺ for ʺboyʺ and ʺGʺ for ʺgirl.ʺ)

Accepted Answer

A)  BBBB, BBB, BB, B 
B)  BBBB, BBBG, BBGG, BGGG, GGGG 
C)  BBBB, BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB, GGGG 
D)  BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB 
A)  BBBB, BBB, BB, B 
B)  BBBB, BBBG, BBGG, BGGG, GGGG 
C)  BBBB, BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB, GGGG 
D)  BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB

Question 9

Use the table to find the probability.
-The following table contains data from a study of two airlines which fly to Small Town, USA. $\begin{array}{c|cc} 
& \begin{array}{c}
\text { Number of flights } \
\text { arrived on time }
\end{array} & \begin{array}{c}
\text { Number of flights } \
\text { arrived late }
\end{array} \
\hline \text { Podunk Airlines } & 33 & 6 \
\text { Upstate Airlines } & 43 & 5
\end{array}$

If a flight is selected at random, find the probability that the flight will arrive on time and that they fly with Upstate airlines.

Accepted Answer

A)  $\frac { 11 } { 76 }$ 
B)  $\frac { 43 } { 76 }$ 
C)  $\frac { 43 } { 87 }$ 
D)  None of the above is correct. 
A)  $\frac { 11 } { 76 }$ 
B)  $\frac { 43 } { 76 }$ 
C)  $\frac { 43 } { 87 }$ 
D)  None of the above is correct.

Question 10

Solve the problem.
-In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly From the town, what are the odds against selecting someone who commutes by bicycle?

Accepted Answer

A)  1 to 3 
B) 3 to 4 
C) 4to 1 
D) 3 to 1 
A)  1 to 3 
B) 3 to 4 
C) 4to 1 
D) 3 to 1

Question 11

Solve the problem.
-A license plate is to consist of 2 letters followed by 4 digits. Determine the number of different License plates possible if repetition of letters and numbers is permitted.

Accepted Answer

A)  3,276,000 
B)  6,759,976 
C)  6,760,000 
D)  676,000 
A)  3,276,000 
B)  6,759,976 
C)  6,760,000 
D)  676,000

Question 12

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 lemon candies.

Accepted Answer

A)  0.061 
B)  1 
C)  0 
D)  0.1212 
A)  0.061 
B)  1 
C)  0 
D)  0.1212

Question 13

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

Accepted Answer

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

Question 14

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 in one day, with the museum tour Being after noon?

Accepted Answer

A)  30 
B)  60 
C)  40 
D)  20 
A)  30 
B)  60 
C)  40 
D)  20

Question 15

Solve the problem.
-At age 50, Ann must choose between taking $18,000 at age 60 if she is alive then, or $30,000 at age 70 if she is alive then. The probability for a person aged 50 living to be 60 and 70 is 0.81 and 0.61, Respectively. Using expected value, what is Annʹs best option?

Accepted Answer

A)  $30,000 at age 70 
B)  $18,000 at age 60 
A)  $30,000 at age 70 
B)  $18,000 at age 60

Question 16

Solve the problem.
-If 3 balls are drawn from a bag containing 3 red and 4 blue balls, what is the expected number of Red balls in the sample?

Accepted Answer

A)  1.29 
B)  0.89 
C)  1.39 
D)  1.54 
A)  1.29 
B)  0.89 
C)  1.39 
D)  1.54

Question 17

Solve the problem.
-An employment agency required 20 secretarial candidates to type the same manuscript. The Number of errors found in each manuscript is summarized in the histogram. Find the empirical Probability that a candidate has less than four errors in the typed manuscript.

Accepted Answer

A)  $\frac { 1 } { 10 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 1 } { 10 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $\frac { 1 } { 2 }$

Question 18

Solve the problem.
-How many ways can a president, vice-president, secretary, and treasurer be chosen from a club With 9 members? Assume that no member can hold more than one office.

Accepted Answer

A)  24 
B)  3024 
C)  126 
D)  36 
A)  24 
B)  3024 
C)  126 
D)  36

Question 19

Solve the problem.
-From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of Men in the delegation?

Accepted Answer

A)  0.48 
B)  1 
C)  0.86 
D)  0.57 
A)  0.48 
B)  1 
C)  0.86 
D)  0.57

Question 20

Solve the problem.
-Of the 69 people who answered ʺyesʺ to a question, 10 were male. Of the 64 people who answered ʺnoʺ to the question, 13 were male. If one person is selected at random from the group, what is the Probability that the person answered ʺyesʺ or was male? Round to the nearest thousandth when Necessary.

Accepted Answer

A)  0.145 
B)  0.617 
C)  0.173 
D)  0.692 
A)  0.145 
B)  0.617 
C)  0.173 
D)  0.692

Solve the problem. -A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many Ways can you get 4 oranges?

Use the counting principle to obtain the answer. -A saleswoman packed 3 jackets and 6 skirts. With one jacket, she could wear all 6 skirts. With Another jacket, she could wear 5 skirts. With the third jacket, she could wear only 2 skirts. How Many different combinations did she have?

Find the probability. -A child rolls a 6-sided die 6 times. What is the probability of the child rolling no more than three Twos? Round to the nearest ten-thousandth.

Find the probability. - What is the probability that the arrow will land on 3 or 5 ?

Evaluate the expression. - ${ } _ { 9 } \mathrm { P } _ { 6 }$

Solve the problem. -One card is selected from a deck of cards. Find the probability of selecting a red card or a card less Than 4. (Note: The ace is considered a low card.)

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

Solve the problem. -A couple plans to have four children. Using a tree diagram , obtain the sample space. List the Elements that make up the sample space. (Use ʺBʺ for ʺboyʺ and ʺGʺ for ʺgirl.ʺ)

Solve the problem. -In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly From the town, what are the odds against selecting someone who commutes by bicycle?

Solve the problem. -A license plate is to consist of 2 letters followed by 4 digits. Determine the number of different License plates possible if repetition of letters and numbers is permitted.

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 lemon candies.

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

Solve the problem. -At age 50, Ann must choose between taking $18,000 at age 60 if she is alive then, or $30,000 at age 70 if she is alive then. The probability for a person aged 50 living to be 60 and 70 is 0.81 and 0.61, Respectively. Using expected value, what is Annʹs best option?

Solve the problem. -If 3 balls are drawn from a bag containing 3 red and 4 blue balls, what is the expected number of Red balls in the sample?

Solve the problem. -An employment agency required 20 secretarial candidates to type the same manuscript. The Number of errors found in each manuscript is summarized in the histogram. Find the empirical Probability that a candidate has less than four errors in the typed manuscript.

Solve the problem. -How many ways can a president, vice-president, secretary, and treasurer be chosen from a club With 9 members? Assume that no member can hold more than one office.

Solve the problem. -From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of Men in the delegation?

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