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8 July, 18:42

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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  1. 8 July, 20:31
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    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
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