मराठी

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a card of spade or an ace. - 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 a card of spade or an ace.

बेरीज
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उत्तर

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

n(S) = `^52C_1`

= 52

(i) There are 13 spade cards and 4 aces in a deck. As the ace of spades is included in 13 spade cards, so there are 13 spade cards and 3 aces

A card of spades or an ace can be drawn in

`^13C_1 + ^3C_1 = 13 + 3`

= 16

Probability of drawing a card of a spade or an ace = `16/52`

= `4/13`

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पाठ 16: Probability - Exercise 16.1 [पृष्ठ २०]
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