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
5

Which events are independent? Select three options.Roll a number cube, and then roll the same number cube again.Flip a coin, and then flip the coin a second time. Remove a card from a deck, and then remove a second card.Draw a card from a deck, replace it, and then draw a second card.Take a marble out of a bag, and then take a second marble out of the bag.

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.
7

Which scenario depicts two independent events?

A
The school play opens tonight and it is raining.
B
Neva is hungry and she buys a snack from the concession stand.
C
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
D
Luka paints during school and he stains his shirt.
8

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
9

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
10

A bag contains eleven equally sized marbles, which are numbered.

Question illustration
A
Two-elevenths
Option A
B
Three-elevenths
Option B
C
Five-elevenths
Option C
D
Six-elevenths
Option D

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