Independent and Mutually Exclusive Events Answers

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Students in a class were surveyed about the number of children in their families. The results of the survey are shown in the table.

Question illustration
A
StartFraction 1 Over 50 EndFraction
Option A
B
StartFraction 2 Over 15 EndFraction
Option B
C
StartFraction 3 Over 20 EndFraction
Option C
D
StartFraction 17 Over 60 EndFraction
Option D
2
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Which events are independent? Select three options.

A
Roll a number cube, and then roll the same number cube again.
B
Flip a coin, and then flip the coin a second time.
C
Remove a card from a deck, and then remove a second card.
D
Draw a card from a deck, replace it, and then draw a second card.
E
Take a marble out of a bag, and then take a second marble out of the bag.
3

A bag contains eleven equally sized marbles, which are numbered. Two marbles are chosen at random and replaced after each selection.

Question illustration
A
StartFraction 10 Over 121 EndFraction
Option A
B
StartFraction 24 Over 121 EndFraction
Option B
C
StartFraction 6 Over 11 EndFraction
Option C
D
StartFraction 10 Over 11 EndFraction
Option D
4

The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table.

Question illustration
A
StartFraction 3 Over 25 EndFraction
Option A
B
StartFraction 7 Over 25 EndFraction
Option B
C
StartFraction 13 Over 25 EndFraction
Option C
D
StartFraction 17 Over 25 EndFraction
Option D
5

A six-sided number cube is rolled twice.What is the probability that the first roll is an even number and the second roll is a number greater than 4?

A
One-sixth
Option A
B
One-third
Option B
C
Two-thirds
Option C
D
Five-sixths
Option D
6

The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.What is the probability that two vowels are chosen?

A
StartFraction 5 Over 72 EndFraction
Option A
B
StartFraction 25 Over 144 EndFraction
Option B
C
StartFraction 7 Over 12 EndFraction
Option C
D
Five-sixths
Option D
7

When a softball player gets a hit, it can be a single, double, triple, or home run. When Josephine is at bat, the probability that she hits a single is 15 percent and the probability that she hits a double is 5 percent.What is the probability that Josephine hits a single or a double when she is at bat?

A
3 percent
B
10 percent
C
20 percent
D
75 percent
8

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?

A
StartFraction 5 Over 24 EndFraction
Option A
B
One-sixth
Option B
C
One-fourth
Option C
D
Five-twelfths
Option D
9

Under the best conditions, a sprout has a 40% probability of blooming.If two sprouts are selected at random, what is the probability that both will bloom, under the best conditions?

A
16 percent
B
24 percent
C
40 percent
D
80 percent
10

All freshmen, sophomores, juniors, and seniors attended a high school assembly. The total student attendance is shown in the table.

Question illustration
A
StartFraction 11 Over 320 EndFraction
Option A
B
StartFraction 3 Over 80 EndFraction
Option B
C
StartFraction 11 Over 40 EndFraction
Option C
D
Two-fifths
Option D

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