Question

Two cards are drawn in a row without replacement. What is the probability of drawing three pink cards?

a) 1/30
b) 2/15
c) 6/45
d) 2/9

Answer 1

None of the above (0)

Only two cards are drawn, so it is impossible for three of them to be pink.

If you meant to type that two of them were pink cards, then the answer is B. 2/15

First, find the probability of drawing a pink card first. There are 10 cards, and 4 of them are pink, so the probability is 4/10, which can be simplified to 2/5.

Now find the probability for the second card to be pink. There are now 9 cards, and 3 of them are pink, so the probability is 3/9, or 1/3.

Finally, multiply the probabilities together. First, multiply the numerators together. 2 * 1 = 2. Now, multiply the denominators together. 5 * 3 = 15. So, the final probability is 2/15