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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.

Answer :

Options B(number cube and spinner), C(two cards) and E(card and dart) are independent. The other options have two actions interfering with another. Since Sarah kept her slip of paper in A then she wouldn't be able to have the same probability of drawing it again. Hayden also changes the chances of drawing black socks because he didn't replace the pair he first drew. B and E have two different actions that can't change the output of each other. C Eliza puts the Jack back and thus the situation is independent. 

The independent events are:

  • rolling the number cube and spinning the spinner
  • Picking two cards from the standard deck
  • Choosing a card and throwing a dart randomly.

What are independent events?

Independents events are events whose  probability of occuring do not depend on one another. They occur randomly.

For example, the event of choosing a card randomly and throwing a dart have no relationship with each other. Thus, they are independent events.

To learn more about independent events, please check: https://brainly.com/question/13075229

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