Probability of Independent Events

Question 1

Which statement correctly describes dependent events?

Revolt · Accepted Answer

Two events are dependent if the outcome of the first event affects the outcome of the second event.

Question 2

Which events are independent? Check all that apply.rolling two number cubes at the same timechoosing a card, and then flipping a coinchoosing a first, second, and third place winnerdrawing a name from a hat, keeping it, then drawing another name drawing a marble from a bag, replacing it, then drawing another marbleflipping the same coin three times

Revolt · Accepted Answer

rolling two number cubes at the same time; choosing a card, and then flipping a coin; drawing a marble from a bag, replacing it, then drawing another marble; flipping the same coin three times

Question 3

Question 3

Revolt · Accepted Answer

0.06

Question 4

What is P(red, then yellow)?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/6152bb9cfe3abf38f0b436fbcd4e0ec4.png

Question 5

Question 5

Revolt · Accepted Answer

1/8

Question 6

Andrea rolls a number cube twice. She determines P(even, then odd) = [image 1] . Which statements are accurate? Check all that apply.Andrea’s solution is incorrect.The total number of possible outcomes is 12. The probability of each simple event is [image 2] .There are three possible outcomes on each number cube. The probability of the compound event is less than the probability of either event occurring alone.P(even, then odd) = P(odd, then even)

Revolt · Accepted Answer

Andrea’s solution is incorrect.; The probability of each simple event is .; The probability of the compound event is less than the probability of either event occurring alone.; P(even, then odd) = P(odd, then even)

Question 7

A bag contains a variety of different-colored marbles. If P(red) = [image 1] , P(green) = [image 2] , and P(red and green) = [image 3] , which statement is true?

Revolt · Accepted Answer

The events are independent because P(red) • P(green) = P(red and green).

Question 8

Question 8

Revolt · Accepted Answer

1/6

Question 9

For an in-class demonstration, a teacher flips a fair coin 5 times, and each of the 5 times it lands on heads. A student argues that it is more likely to land on tails on the next, or 6th, flip. Is the student correct? Explain your reasoning.

Revolt · Accepted Answer

No, the student is not correct. Each flip of a fair coin is an independent event, so the outcome of previous flips does not affect the next flip. The probability of landing on tails (or heads) on the 6th flip is still 1/2.

Probability of Independent Events Answers

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