Question

A shelf contains 5 nonfiction and 6 comic books. Randomly, you choose one for yourself, set it aside, and choose one for your friend . Are these events independent or dependent

Answer 1

As the first event outcome affects the probability of the outcomes of the second event, both events are dependant.

Explanation:

The events are not independent.

The reason is that the first event affects the outcome of the second event.

This happen because the if we choose a comic book for ourselves, there is a probability of 6-1=5 out of 5+5=10 of getting a comic book for our friend (P=50%).

If we choose a nonfiction book four ourselves, the probability of getting a comic book for our friend is 6 in 10 (P=60%).

As the first event outcome affects the probability of the outcomes of the second event, both events are dependant.