A cooler contains eleven bottles of sports drink: four lemon-lime flavored and seven orange flavored. you randomly grab a bottle

Question

3 years ago

7

A cooler contains eleven bottles of sports drink: four lemon-lime flavored and seven orange flavored. you randomly grab a bottle

and give it to your friend. then, you randomly grab a bottle for yourself. you and your friend both get lemon-lime.find the probability of this occurring.

Mathematics

1 answer:

Anna71 [15] · Answer 1 · 2022-02-17T14:50:38+03:00

The probability that you will choose a lemon-lime for your friend is the number of lemon-limes divided by the total number of drinks, 4/11.

The probability that you will subsequently choose one for yourself is the same ratio with different numbers (because a lemon-lime has already been selected), 3/10.

The probability of both of these events occurring is the product of their individual probabilities: (4/11)·(3/10) = 6/55