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If 2 cards are selected from a standard deck of 52 cards without replacement, in order to find the probability that both are the same suit, start with the first card...

The probability that the first card is any suit is 52 in 52, or 1.

Now, consider the second card. There are 12 cards remaining in the same suit, and 39 cards remaining in the other three suits...

The probability that the second card is the same suit as the first card is 12 in 51, or 4 in 17, or 0.235.

The probability of both events occurring is the product of those two probabilities. That is still 4 in 17, or 0.235.

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Q: If 2 cards are selected from a standard deck of 52 cards without replacement find the probability that both are the same suit?
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