Malia and some of her friends are going rock climbing this weekend. In preparation, Malia purchased 8 sports drinks to bring, including 6 peach flavored drinks.
If Malia randomly chooses to place 4 drinks in the red cooler, what is the probability that all of them are peach flavored?
Write your answer as a decimal rounded to four decimal places.

Based on the fact that there are 8 sports drinks and 6 peach flavored drinks, the probability that all 4 drinks picked by Malia would be peach flavored is

What is the probability?

The probability that all 4 drinks will be peach flavored can be found as:

= Probability of first drink being peach x Probability of second drink being peach + Probability of third drink being peach + Probability of fourth drink being peach

The probability of the drinks being peach flavored is:
= 6/8 x 5/7 x 4/6 x 3/5

= 0.2143

In conclusion, the probability that all the drinks are peach flavored is 0.2143.

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