Question

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

Answer 1

Answer:

1/30

Step-by-step explanation:

I'm assuming you're asking for three cards being drawn, but if you're actually asking for two cards, the probability is 0. You have no chance of drawing three pink cards if you only draw two cards.

If you mean that three cards are drawn in a row, do the following:

The probability is defined as the number of pink cards / number of all cards.

• The first probability is 4/10, because there are 10 cards, and 4 are pink.

• Next, we don't replace the pink card we draw, so there are 9 cards left, and 3 are pink. The second probability is 3/9.

• Following the same logic, the third probability is 2/8.

We know these are independent events, so we must multiply them together to get the total probability.

4/10 * 3/9 * 2/8 = 1/30 is the probability of drawing three pink cards.