Question

Design a simulation that you can use to model the situation. Then use your simulation to find the experimental probability. The probability that you see a butterfly during a nature center tour is 80%. The probability that you see a turtle is 40%. What is the probability of seeing both?

Answer 1

The probability of seeing both = 0.32

Explanation:

Step:-(i)

Given data the probability that you see a butterfly during a nature center tour is 80%

Let 'B' be the event of butterfly during a nature center tour

The probability that you see a butterfly during a nature center tour is 80%

P(B) = 80% = 0.80

Given data the probability that you see a turtle is 40%

Let 'T' be the event of turtle a nature center tour

P(T) = 40% = 0.40

Step:-(ii)

Independent events

If the occurrence of the event B is not effected by the occurrence or non-occurrence of the event 'A' , then the event 'B' is said to be independent of 'A'

If A and B are independent events then

P(A ∩B) =P(A) P(B)

now the given data the butterfly and turtle are independent events

probability of seeing both

P(B∩T) = P(B).P(T)

= 0.80 × 0.40

= 0.32