Question

Two cards are picked at random without replacement from a set of 10 red cards and 10 blue cards. What is the

A) 10/19
B) 1/2
C) 10/20
D) 9/19

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Answer 1

The probability of picking two red cards consecutively from a set of 10 red cards and 10 blue cards, without replacement, is 9/38.

Step-by-step explanation:

The probability of picking a red card on the first draw is 10 out of 20, since there are 10 red cards out of 20 total cards. After the first red card is drawn, there will be 9 red cards left out of the remaining 19 cards. Therefore, the probability of picking a red card on the second draw, given that the first card was red, is 9 out of 19.

To find the overall probability of picking two red cards consecutively, we multiply the probabilities of the individual events. So, the probability of picking two red cards is (10/20) * (9/19) = 90/380 = 9/38.