What is the probability of getting a spade and a clubwhen two cards are drawn together from a pack of 52 cards.

13/102

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Solution

The correct option is A
13/102

Let S be the sample space.

Then, (S) = $^{52} C_{2}$ =1326

Let E = event of getting 1 spade and 1 heart.

$∴$ (E) = number of ways of choosing 1 spade out of 13 and 1 heart out of 13

= ( $^{13} C_{1} \times^{13} C_{1}$ )

= (13 $\times$ 13)

= 169.

P(E) = $\frac{169}{1326} = \frac{13}{102}$ .

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What is the probability of getting a spade and a clubwhen two cards are drawn together from a pack of 52 cards.

The correct option is A 13/102 Let S be the sample space. Then, (S) = 52C2=1326 Let E = event of getting 1 spade and 1 heart. ∴ (E) = number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = (13C1×13C1) = (13 × 13) = 169. P(E) = 1691326=13102.