Question

Four cards are drawn randomly from a well shuffled pack of 52 cards. find the probability of getting 3 diamonds and one spade

Answer 1

The pack contains totally 52 cards.
Out of which 13 are spade, 13 are hearts, 13 are diamond and the remaining 13 are club.
The 3 diamonds we get can be any one out of the 13. The 1 spade we get can be any one of the 13.

So the total no. of cards we would get be 13 + 13 = 26.

Total no. of outcomes = 52
No. of outcomes favourable to E = 26

P(E) = No. of outcomes favourable to E / Total no. of outcomes

P( 3 diamonds and 1 spade ) = 26 / 52
                                               = 1 / 2

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