A bag of M&Ms contains 13 blue, 5 brown, 10 orange, 8 yellow, 8 red, and 4 green. Reaching into the bag, a person grabs 5 M&Ms.
What is the probability of getting no browns? Round to 3 decimal places.

0.5622 = 56.22% probability of getting no browns.

Step-by-step explanation:

The M&Ms are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

In this question:

13 + 5 + 10 + 8 + 8 + 4 = 48 total M&Ms, which means that

Sample of 5 means that

5 browns means that

What is the probability of getting no browns?

This is P(X = 0).

0.5622 = 56.22% probability of getting no browns.

:

step-by-step explanation:

i believe the answer is d.

hope it you! : d