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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. Find the probability of drawing :
(i) an ace (ii) `2` of spades (iii) `10` of a black suit.

Text Solution

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(i) The number of possible outcomes of drawing an ace is 4 as the number of aces in the deck are 4. The total number of outcomes relating to drawing-.a card from deck of 52 cards is 52.
`therefore "P(drawing an ace) "(4)/(52)=(1)/(13)`
(ii) As there is only one card '2' of spades, there is one favourable outcome only.
`therefore "Probability of drawing '2' of sapdes "=(1)/(52)`
(iii) Since, there are two cards of ' 10' of a black suit, one JO of spade and other 10 of club,
so the probability of drawing 10 of a black suit `=(2)/(52)=(1)/(26)`.
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