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Find the probability of drawing two diamonds in a row from a standard deck of 52 cards. After the first card is drawn it is set aside and not returned to the deck.

1 Answer

6 votes

Answer: 1/17

Explanation:

First and foremost, we should note that there are 13 diamonds in a standard deck of 52 cards.

If the first card is drawn, the probability of picking a diamond is 13/52. Since it's not replaced, when another one is picked, the probability that it will be diamond will be 12/51.

We then multiply both together. This will be:

= 13/52 × 12/51

= 1/4 × 4/17

= 1/17

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