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?

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Mathematics

24 November, 10:38

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?

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Kaylyn Lewis · Answer 1

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