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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Answer:
0.5904
Step-by-step explanation:
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?
20% probability = 20/100 = 1/5
Probability of Seeing a Star in 15 minutes = 1/5
Probability of no seeing a Star in 15 minutes = 1 - 1/5 = 4/5
probability that you see at least one shooting star in the period of an hour
= 1 - Probability of not seeing any Star in 60 minutes
= 1 - Probability of not seeing any Star in 15 * 4 minutes
= 1 - (4/5)⁴
= 1 - 0.4096
= 0.5904
the probability that you see at least one shooting star in the period of an hour = 0.5904
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