Answer:
20.48% probability that she will see exactly two black squirrels out of the five
Step-by-step explanation:
For each squirrel, there are only two possible outcomes. Either it is black, or it is not. The probability of a squirrel being black is independent of other squirrels. So we use the binomial probability distribition 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.
20% of squirrels are black.
This means that
What is the probability that she will see exactly two black squirrels out of the five?
This is P(X = 2) when n = 5. So
20.48% probability that she will see exactly two black squirrels out of the five
