Which events are independent? Check all that apply.
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.

Respuesta :

Answer:

B), C), E)

Step-by-step explanation:

A. is not independent because Sarah does not replace the number she picked.

B. Is independent because the number cube and spinner have no relation with each other, and therefore will not affect its outcomes.

C. is independent because Eliza replaces the jack she picked from the deck.

D. is not independent because the total number of outcomes changes and Hayden doesn't replace the pair of socks.

E. is independent because the deck of cards and dart have no connection with each other.

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