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Question

A card is drawn from a deck of 52 cards. Find the probability that the card drawn is neither a black card nor a jack.

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Solution

Spades and clubs are the black cards.
Number of spades in a deck 52 cards =13
Number of clubs in a deck 52 cards = 13
Number of jacks in a deck 52 cards = 4
Total number of black card and jack = 13 + 13 + 2 = 28,(since jack of spade and jack of club are removed).
Number of cards which are neither a black card nor a jack = 52 - 28 = 24
For an event E, Probability P(E) =Number of outcomes favourable to ENumber of all possible outcomes of the experiment
The probability of getting neither a black card nor a jack =2452 =613

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