There is a 30% chance that T'Shana's county will have a drought during any given year. She performs a
simulation to find the experimental probability of a drought in at least 1 of the next 4 years

75.99% probability of a drought in at least 1 of the next 4 years

Step-by-step explanation:

For each year, there are only two possible outcomes. Either there is a drought, or there is not. The probability of there being a drought in a given year is independent of other years. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

30% chance that T'Shana's county will have a drought during any given year.

This means that

4 years

This means that

She performs a

She performs a simulation to find the experimental probability of a drought in at least 1 of the next 4 years

Either no year has a drought, or at least one has. The sum of the probabilities of these events is decimal 1. So

We want . So

In which

75.99% probability of a drought in at least 1 of the next 4 years

about 0.75 hours

step-by-step explanation: