Question 112

DIRECTION for the question: Solve the following question and mark the best possible option.

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is

Solution

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There are 2 cases possible. 
Case 1: 1st card is spades and 2nd card is hearts. Probability of this cases = $$\frac{13}{52}\times\ \frac{13}{51}$$.
Case 2: 1st card is hearts and 2nd card is spades. Probability of this cases = $$\frac{13}{52}\times\ \frac{13}{51}$$.
So, Overall probability = $$2\times\ \frac{13}{52}\times\ \frac{13}{51}=\frac{13}{102}$$.

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