A large cooler contains the following drinks: 11 lemonades, 6 Sprites, 14 Cokes, and 7 root beers. You randomly pick two cans, one at a time (without replacement). Compute the following probabilities.

What is the probability that you get either two root beers or two lemonades?



(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?

1 answer

Either-or probabilities are found by adding the individual probabilities.

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

P(RB) = 7/38 * (7-1)/(38-1) = ?

P(L) = 11/38 * 10/37 = ?

P(2rb or 2L) = P(RB) + P(L)

(D) P(CS) = 14/38 * 6/(38-1) = ?

(E) P(2same) = P(RB) + P(L) + etc.