Question

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You pick a card at random. Without putting the first card back, you pick a second card at random.

6
7
8
9


What is the probability of picking a 6 and then picking a 6?

Simplify your answer and write it as a fraction or whole number.

Answer 1

The probability of picking a 6 and then picking a 6 without replacement is 1/221.

Step-by-step explanation:

To calculate the probability of picking a 6 and then picking a 6 without putting the first card back, we need to consider that the first card is a 6 and then the second card is a 6.

There are 4 sixes in a standard deck of 52 cards. Since we don't replace the first card, there will be only 3 sixes left in the remaining 51 cards when we pick the second card.

Therefore, the probability of picking a 6 and then picking a 6 is 4/52 * 3/51 = 1/221.