AnswersConcepts in Probability and Statistics AIndependent and Mutually Exclusive Events

Independent and Mutually Exclusive Events Answers

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Which events are independent? Check all that apply.Each number 1 through 10 is written on a slip of paper, placed in a hat, and randomly picked. Sarah picks a number less than 5, keeps it, and then picks an odd number.A number cube is rolled and a spinner is spun. Henry rolls a multiple of 2 and lands on a red portion of the spinner.Two cards are randomly chosen from a standard deck. Eliza chooses a jack, replaces it, and then chooses a black card.Two pairs of socks are randomly chosen from a drawer. Hayden chooses a black pair of socks, puts them on, and then chooses another black pair.A card is randomly chosen from a standard deck and a dart is randomly thrown. Olivia chooses an ace and the dart hits the bull’s-eye.

A
Each number 1 through 10 is written on a slip of paper, placed in a hat, and randomly picked. Sarah picks a number less than 5, keeps it, and then picks an odd number.
B
A number cube is rolled and a spinner is spun. Henry rolls a multiple of 2 and lands on a red portion of the spinner.
C
Two cards are randomly chosen from a standard deck. Eliza chooses a jack, replaces it, and then chooses a black card.
D
Two pairs of socks are randomly chosen from a drawer. Hayden chooses a black pair of socks, puts them on, and then chooses another black pair.
E
A card is randomly chosen from a standard deck and a dart is randomly thrown. Olivia chooses an ace and the dart hits the bull’s-eye.
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✔ 1/253/256/2511/25

A
✔ 1/25
B
3/25
C
6/25
D
11/25
3

2/2253/2253/25✔ 4/25

A
2/225
B
3/225
C
3/25
D
✔ 4/25

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