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?
A) 11%
B) 15%
C) 24%
D) 50%

Answer 1

Answer with Step-by-step explanation:

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?

A: Wren will be elected president of the school

P(A)=0.3     (30%)

B: Wren will be elected editor of school magazine

P(B)=0.8   (80%)

Both the events are independent hence,

P(A∩B)=P( Wren will be selected as the president of the sports club and will also be elected editor of the school magazine)

             = P(A)×P(B)

           = 0.3×0.8

          =0.24

          = 24%

Hence, the probability that Wren will be selected as the president of the sports club and will also be elected editor of the school magazine

C) 24%

Answer 2

Multiply the two probabilities together to get the answer. 3/10 ×8/10 = 24/100 or 24 %