Question

Greg has a 20% chance of being selected as the president of the school sports club and a 90% chance of being elected editor of the school magazine. What is the probability that Greg will be selected as the president of the sports club and will also be elected editor of the school magazine? (1 point)

11%
18%
45%
70%

Answer 1

Convert the percentages in decimals:
90/100 = 0.9, 20/100 = 0.2

Multiply the decimals:
0.9 times 0.2 is 0.18, or 18%

Greg has an 18% chance of being elected both positions.

Answer 2

probability that Greg will be selected as the president of the sports club and will also be elected editor of the school magazine is 18%

Explanation:

A: greg will be selected as president of the school sports club

P(A)=20%=0.2

B: greg will be elected editor of the school magazine

PB)=90%=0.9

A∩B: Greg will be selected as the president of the sports club and will also be elected editor of the school magazine

A and B are independent events

hence, P(A∩B)=P(A)×P(B)

= 0.2×0.9

=0.18

=18%

hence, probability that Greg will be selected as the president of the sports club and will also be elected editor of the school magazine is 18%