Question

A weather forecast states that there is a 20% probability of rain on each of the next 3 days.

Complete the description of 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.



To simulate a 20% probability of rain over 3 days, let
of 10 numbers represent a day with rain. So,
of the numbers represent a day without rain. Then, perform multiple trials, generating
random numbers for each trial.

Answer 1

answer: The experimental probability that it will not rain on any pf the next 3 day is 64/125


The probability of raining is 20%
Hence, the probability that there will be no rain, is (100-20) = 80%
The probabilty that there is no rain on the first day is 80/100 = 4/5


Hence, the required probaility is (4/5)3 = 64/125