AnswersEAP-Algebra Functions and Data Analysis B CRTheoretical and Experimental Probability

Independent and Mutually Exclusive Events Answers

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21
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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
22
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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.
23

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
25

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
27

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.

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