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One card is drawn from a well-shuffled d...

One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will(i)         be an ace.(ii)        not be an ace.

Text Solution

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Here, `n(S) = 52`
(i) There are `4 ` aces in a deck of 52 cards.
So, `E_A = 4`
Probability card drawn is ace, `P(E_A) =E_A/(n(S)) = 4/52 = 1/13`

(ii) There are `48 ` cards that are not aces in a deck of 52 cards.
So, `E_(NA) = 48`
Probability card drawn is not ace, `P(E_(NA)) =E_(NA)/(n(S)) = 48/52 = 12/13`
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