Question

Susie is looking for butterflies in an area where: 15% of the butterflies are of type A 30% of the butterflies are of type B 55% of the butterflies are of type C Suppose that she spots two butterflies on her walk, and that the types of the two butterflies are independent from each other (perhaps because they are spotted in different locations). (a) What is the probability that the two butterflies she spots will both be type A butterflies

Answer 1

the probability that the two butterflies she spots will both be type A butterflies is 0.0044

Explanation:

The computation of the probability that the two butterflies she spots will both be type A butterflies is shown below:

= 1 ÷ Type A × 1 ÷ Type A

= 1 ÷ 15 × 1 ÷ 15

= 1 ÷ 225

= 0.0044

Hence, the probability that the two butterflies she spots will both be type A butterflies is 0.0044