Question

Bert has a well-shuffled standard deck of 52 cards, from which he draws one card; ernie has a 12-sided die, which he rolls at the same time bert draws a card. compute the probability that bert gets a red card and ernie rolls a fifteen.

Answer 1

In a standard deck of 52 cards, there are 26 red cards and the probability of drawing a red card is 26 / 52 = 1/2.

Assuming that the 12 sided dice is numbered from 1 - 12, thus, there is no side with fifteen and the probabilty of rolling a fifteen is 0.

Notice that the two evants are independent, therefore, the probability that Bert gets a red card and Ernie rolls a fifteen is given by 1/ 2 x 0 = 0.