Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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Five Cards Are Drawn from a Pack of 52 Cards. What is the Chance that These 5 Will Contain: (Ii) at Least One Ace? - Mathematics

Five cards are drawn from a pack of 52 cards. What is the chance that these 5 will contain at least one ace?

 
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Solution

Let S denote the sample space.
Then n(S) = 52
Thus, five cards can be drawn in 52C5 ways.
∴ Total number of elementary events = 52C5

Probability for at least one ace = 1 – Probability (no ace)
                                                  = \[1 - \frac{^{48}{}{C}_5}{^{52}{}{C}_5}\]

                                                 = \[1 - \frac{35673}{54145} = \frac{18472}{54145}\]

    

 

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 17.2 | Page 46
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