Probability — Test Answers

25 verified answers1 views
2
Free Preview

Three siblings, Peyton, Cameron, and Dakota, all ask their parents to borrow the family car for different events around town. Since they cannot all borrow the car at the same time, the parents decide to use randomness to decide who gets the car. They will roll a single, fair, six-sided number cube. Peyton gets the car if a 1 or 2 is rolled. Cameron gets the car if a 3 or 4 is rolled, and Dakota gets the car if a 5 or 6 is rolled. Which of the following is the probability distribution for who gets the car?

A
Table with 3 columns and 2 rows.Row 1: Column 1, 'Peyton'; Column 2, 'Cameron'; Column 3, 'Dakota' Row 2: Column 1, '0 point 3'; Column 2, '0 point 3'; Column 3, '0 point 3'
B
Table with 3 columns and 2 rows.Row 1: Column 1, 'Peyton'; Column 2, 'Cameron'; Column 3, 'Dakota' Row 2: Column 1, '1 sixth'; Column 2, '1 sixth'; Column 3, '1 sixth'
C
Table with 3 columns and 2 rows.Row 1: Column 1, 'Peyton'; Column 2, 'Cameron'; Column 3, 'Dakota' Row 2: Column 1, '1 third'; Column 2, '1 third'; Column 3, '1 third'
D
Table with 3 columns and 2 rows.Row 1: Column 1, 'Peyton'; Column 2, 'Cameron'; Column 3, 'Dakota' Row 2: Column 1, '1'; Column 2, '1'; Column 3, '1'
3

Ten people (labeled 1 – 10 ) have purchased raffle tickets for a fundraiser. However, they did not all purchase the same number of tickets. One ticket is to be selected at random. Which of the following could be the probability distribution for the winning ticket?

A
Table with 10 columns and 2 rows.Row 1: Column 1, '1'; Column 2, '2'; Column 3, '3'; Column 4, '4'; Column 5, '5'; Column 6, '6'; Column 7, '7'; Column 8, '8'; Column 9, '9'; Column 10, '10' Row 2: Column 1, '0 point 0 1'; Column 2, '0 point 0 1'; Column 3, '0 point 0 5'; Column 4, '0 point 0 7'; Column 5, '0 point 6 8'; Column 6, '0 point 0 1'; Column 7, '0 point 0 5'; Column 8, '0 point 0 3'; Column 9, '0 point 0 1'; Column 10, '0 point 0 8'
B
Table with 10 columns and 2 rows.Row 1: Column 1, '1'; Column 2, '2'; Column 3, '3'; Column 4, '4'; Column 5, '5'; Column 6, '6'; Column 7, '7'; Column 8, '8'; Column 9, '9'; Column 10, '10' Row 2: Column 1, '0 point 1 0'; Column 2, '0 point 1 0'; Column 3, '0 point 1 0'; Column 4, '0 point 1 0'; Column 5, '0 point 1 0'; Column 6, '0 point 1 0'; Column 7, '0 point 1 0'; Column 8, '0 point 1 0'; Column 9, '0 point 1 0'; Column 10, '0 point 1 0'
C
Table with 10 columns and 2 rows.Row 1: Column 1, '1'; Column 2, '2'; Column 3, '3'; Column 4, '4'; Column 5, '5'; Column 6, '6'; Column 7, '7'; Column 8, '8'; Column 9, '9'; Column 10, '10' Row 2: Column 1, '0 point 0 1'; Column 2, '0 point 1 1'; Column 3, '0 point 0 2'; Column 4, '0 point 1 2'; Column 5, '0 point 0 3'; Column 6, '0 point 1 3'; Column 7, '0 point 0 4'; Column 8, '0 point 1 4'; Column 9, '0 point 0 5'; Column 10, '0 point 1 5'
D
Table with 10 columns and 2 rows.Row 1: Column 1, '1'; Column 2, '2'; Column 3, '3'; Column 4, '4'; Column 5, '5'; Column 6, '6'; Column 7, '7'; Column 8, '8'; Column 9, '9'; Column 10, '10' Row 2: Column 1, '0 point 1 2 5'; Column 2, '0 point 1 2 5'; Column 3, '0 point 1 2 5'; Column 4, 'negative 0 point 1 2 5'; Column 5, '0 point 1 2 5'; Column 6, '0 point 1 2 5'; Column 7, '0 point 1 2 5'; Column 8, '0 point 1 2 5'; Column 9, '0 point 1 2 5'; Column 10, '0 point 1 2 5'
10

Some college advisors noticed the following breakdown of majors for the incoming freshman at their school: 3 percent math, 22 percent nursing, 16 percent psychology, 11 percent criminal justice, and 48 percent business. Suppose a first-year student was chosen at random. Which of the following is the probability distribution for that student’s major?

A
Table with 5 columns and 2 rows.Row 1: Column 1, 'Business'; Column 2, 'Criminal Justice'; Column 3, 'Math'; Column 4, 'Nursing'; Column 5, 'Psychology' Row 2: Column 1, '0 point 4 8'; Column 2, '0 point 1 1'; Column 3, '0 point 0 3'; Column 4, '0 point 2 2'; Column 5, '0 point 1 6'
B
Table with 5 columns and 2 rows.Row 1: Column 1, 'Business'; Column 2, 'Criminal Justice'; Column 3, 'Math'; Column 4, 'Nursing'; Column 5, 'Psychology' Row 2: Column 1, '0 point 0 3'; Column 2, '0 point 1 1'; Column 3, '0 point 4 8'; Column 4, '0 point 2 2'; Column 5, '0 point 1 6'
C
Table with 5 columns and 2 rows.Row 1: Column 1, 'Business'; Column 2, 'Criminal Justice'; Column 3, 'Math'; Column 4, 'Nursing'; Column 5, 'Psychology' Row 2: Column 1, '0 point 4 8'; Column 2, '0 point 1 1'; Column 3, '0 point 3 0'; Column 4, '0 point 2 2'; Column 5, '0 point 1 6'
D
Table with 5 columns and 2 rows.Row 1: Column 1, 'Business'; Column 2, 'Criminal Justice'; Column 3, 'Math'; Column 4, 'Nursing'; Column 5, 'Psychology' Row 2: Column 1, '0 point 2 2'; Column 2, '0 point 0 3'; Column 3, '0 point 1 6'; Column 4, '0 point 4 8'; Column 5, '0 point 1 1'
13

A group of ticket takers at a box office for a new theater noticed that in the first year of the theater’s operation, the genre breakdown of the movies was 10 percent horror, 39 percent comedy, 28 percent drama, and 23 percent action. If a movie from the theater’s first year of operation was selected at random, which of the following identifies the probability distribution for the movie’s genre?

A
Table with 4 columns and 2 rows.Row 1: Column 1, 'Action'; Column 2, 'Comedy'; Column 3, 'Drama'; Column 4, 'Horror' Row 2: Column 1, '0 point 3 9'; Column 2, '0 point 1 0'; Column 3, '0 point 2 3'; Column 4, '0 point 2 8'
B
Table with 4 columns and 2 rows.Row 1: Column 1, 'Action'; Column 2, 'Comedy'; Column 3, 'Drama'; Column 4, 'Horror' Row 2: Column 1, '0 point 2 3'; Column 2, '0 point 3 9'; Column 3, '0 point 2 8'; Column 4, '0 point 1 0'
C
Table with 4 columns and 2 rows.Row 1: Column 1, 'Action'; Column 2, 'Comedy'; Column 3, 'Drama'; Column 4, 'Horror' Row 2: Column 1, '0 point 3 9'; Column 2, '0 point 2 3'; Column 3, '0 point 1 0'; Column 4, '0 point 2 8'
D
Table with 4 columns and 2 rows.Row 1: Column 1, 'Action'; Column 2, 'Comedy'; Column 3, 'Drama'; Column 4, 'Horror' Row 2: Column 1, '0 point 1 0'; Column 2, '0 point 3 9'; Column 3, '0 point 2 8'; Column 4, '0 point 2 3'
14

In Canada, 63 percent of households speak English as their primary language, and 23 percent speak French as their primary language. If two Canadian households are selected at random, what is the probability that the first household speaks French, but the second household speaks English?

A
0 point 2 3 plus 0 point 6 3 minus 0 point 2 3 times 0 point 6 3 is equal to 0 point 7 4 5 1
B
0 point 2 3 times 0 point 6 3 is equal to 0 point 1 4 4 9
C
0 point 2 3 plus 0 point 6 3 is equal to 0 point 8 6
D
0 point 2 3 over 0 point 6 3 is equal to 0 point 3 6 5 0
16

A computer’s random number generator produces random integers from 1 to 50 What is the probability that among the first 9 random integers generated, all of them fall in the range from 1 to 35 ?

A
0 point 3 5 to the 9th power
B
0 point 7 0 to the 9th power
C
open paren 1 minus 0 point 7 0 close paren to the 9th power
D
1 minus 0 point 7 0 to the 9th power
20

A popular board game has players twist their bodies around so that their hands and feet touch small colored dots. A spinner with equal areas for each body part (left hand, right hand, left foot, or right foot) is used. Which of the following is the correct probability distribution for the body part chosen to be placed?

A
Table with 4 columns and 2 rows.Row 1: Column 1, 'LH'; Column 2, 'RH'; Column 3, 'LF'; Column 4, 'RF' Row 2: Column 1, '1'; Column 2, '1'; Column 3, '1'; Column 4, '1'
B
Table with 4 columns and 2 rows.Row 1: Column 1, 'LH'; Column 2, 'RH'; Column 3, 'LF'; Column 4, 'RF' Row 2: Column 1, '0 point 5 0'; Column 2, '0 point 2 5'; Column 3, '0 point 5 0'; Column 4, 'negative 0 point 2 5'
C
Table with 4 columns and 2 rows.Row 1: Column 1, 'LH'; Column 2, 'RH'; Column 3, 'LF'; Column 4, 'RF' Row 2: Column 1, '4'; Column 2, '4'; Column 3, '4'; Column 4, '4'
D
Table with 4 columns and 2 rows.Row 1: Column 1, 'LH'; Column 2, 'RH'; Column 3, 'LF'; Column 4, 'RF' Row 2: Column 1, '0 point 2 5'; Column 2, '0 point 2 5'; Column 3, '0 point 2 5'; Column 4, '0 point 2 5'

Did you find these answers helpful?