Question

Wren has a 30% chance of being selected as the president of the school sports club and a 80% chance of being elected editor of the school magazine. What is the probability that Wren will be selected as the president of the sports club and will also be elected editor of the school magazine?

Answer 1

I believe it's 24%.

I hope this helps!

Answer 2

Hey there!

In order to find the probability that Wren will end up being both the school sports club president and an editor of the school magazine, you would need to multiply those two probabilities together, since the events will not influence one another and are independent.

P(A ∩ B) = P(A) • P(B)
P(A ∩ B) = 30% • 80%
P(A ∩ B) = 0.3 • 0.8
P(A ∩ B) = 0.24
P(A ∩ B) = 24% chance

There will be a 24% chance of Wren getting both positions.

Hope this helped you out! :-)