Answer:
The probability of seeing both = 0.32
Step-by-step 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
