Question

You decide to tell your fortune by drawing two cards from a standard deck of 52cards. What is the probability of drawing two cards of the same suite in a row? Thecards are not replaced in the deck.

Answer 1

There are 4 suits: hearts, diamonds, club, a spade. Each of them has 13 cards.

The probability of picking the first card from the deck of cards can be calculated using the formula:

`\text{Probability = }\frac{Number\text{ of required outcome}}{Total\text{ number of possible outcome}}`

Hence:

`\text{Probability = }(13)/(52)`

The probability of picking the second card from the same suite is:

`\text{Probability = }(12)/(51)`

The probability of drawing two cards of the same suite is:

`\begin{gathered} =\text{ }(13)/(52)*(12)/(51) \\ =\text{ }(156)/(2652) \end{gathered}`

But there are four suites. Hence, the actual probability is:

`\begin{gathered} =\text{ }(156)/(2652)\text{ }*\text{ 4} \\ =\text{ }(624)/(2652) \end{gathered}`

The probability of drawing two cards of the same suite in a row is 624/2652