A weather forecast states that there is a 20% probability of rain in the next three days. Describe a simulation you could perform using random numbers to find the experimental probability that it will not rain on any of the next 3 days.

Answer :

Answer:

The experimental probability that it will not rain on any of the next 3 days is [tex]\frac{64}{125}[/tex].

Step-by-step explanation:

The probability of raining is 20%.

Hence, the probability that there will be no rain, is (100 - 20) = 80%.

The probability that there is no rain on the first day is [tex]\frac{80}{100} = \frac{4}{5}[/tex].

Similarly, for the second and third day the probability is [tex]\frac{4}{5}[/tex].

Hence, the required probability is [tex](\frac{4}{5}) ^{3} = \frac{64}{125}[/tex].

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