A large cooler contains the following drinks: 6

Answered question

2022-04-14

A large cooler contains the following drinks: 6 lemonade, 8 Sprite, 15 Coke, and 7 root beer. You randomly pick two cans, one at a time (without replacement).

(a) What is the probability that you get 2 cans of Sprite?

(b) What is the probability that you do not get 2 cans of Coke?

(c) What is the probability that you get either 2 root beer or 2 lemonade?

(d) What is the probability that you get one can of Coke and one can of Sprite?

(e) What is the probability that you get two drinks of the same type?

Answer & Explanation

user_27qwe

user_27qwe

Skilled2023-04-27Added 375 answers

We can use the formula for calculating the probability of two events occurring together to find the probability of selecting two cans of Sprite from the cooler.
The probability of selecting a can of Sprite on the first pick is 8/36, since there are 8 Sprites in a total of 36 drinks. After one Sprite has been picked, there are only 7 Sprites left in the cooler, out of a total of 35 drinks. Therefore, the probability of selecting a second can of Sprite on the second pick, given that the first pick was a Sprite, is 7/35.
The probability of selecting two cans of Sprite without replacement is the product of these two probabilities:
P(two cans of Sprite)=836·735=245= 245
Therefore, the probability of selecting two cans of Sprite from the cooler is 245.

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