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A Card is Drawn at Random from a Well-shuffled Deck of Playing Cards. Find The Probability that the Card Drawn Is Neither a Jack Nor a King. - Mathematics

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प्रश्न

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is neither a jack nor a king.

उत्तर

Let S be the sample space of drawing a card from a well-shuffled deck.

`n(S)=""^52C_1=52`

There are 4 jack and 4 king cards in a deck.

So there are 52 -8 = 44 cards which are neither jacks nor kings.

A card which is neither a jack nor a king can be drawn in `""^44C_1=44`

Probability of drawing a card which is neither a jack nor a king=44/52=11/13

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2014-2015 (March) All India Set 3

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