Question

Two cards are picked at random, without replacement, from a set of 10 red cards and 10 blue cards. what is the probability that the second card is blue, given that the first is red?

Answer 1

The probability that the second card is blue, given that the first is red, is 10/19.

Step-by-step explanation:

To find the probability that the second card is blue, given that the first card is red, we need to consider the reduced sample space after selecting a red card. Initially, there are 10 red cards and 10 blue cards, making a total of 20 cards. After selecting a red card, there are 9 red cards and 10 blue cards left. Therefore, the probability of selecting a blue card as the second card, given that the first card is red, is 10/19.