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In any 15-minute interval, there is a 20% probability that you will see at least one shooting star. What is the proba­bility that you see at least one shooting star in the period of an hour?
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P(seeing a star in 15 minutes) = 20% = 20/100  = 1/5

P(not seeing a star in 15 minutes) = 1 - 1/5  = 4/5

P(seeing at least one shooting star in the period of an hour) = 1 - P(not seeing a star in 60 minutes)

= 1 - (P(not seeing a star in 15 minutes))^(60/15)

= 1 - (4/5)⁴

= (369/625)

= 0.5904

Therefore the probability that you see at least one shooting star in the period of an hour = (369/625) or 0.5904
by Diamond (40,716 points)

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