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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 A Card of Spade Or an Ace. - Mathematics

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Question

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.

Solution

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 ace's in a deck As ace of spade is included in 13 spade cards,so there are 13 spade cards and 3 ace's

A card of spade or an ace can be drawn in

`""^13C_1+""^3C_1=13+3=16`

Probability of drawing a card of spade or an ace=16/52=4/13

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Chapter 16: Probability - Exercise 16.1 [Page 20]

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