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A standards deck of 52 cards is shuffled...

A standards deck of 52 cards is shuffled. Ritu draws a single card from the deck at random. What is the probability that the card is a jack ?

Text Solution

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S = Sample space of all possible outcomes, or 52 cards.
`"Thus, "n(S)=52`
E = Event of selecting a jack. There are four jacks in the deck, jack of hearts, of diamonds of spades, and of clubs.
Thus n(E)=4
`P(E)=("Number of possible jacks")/("Total number of possible cards")=(4)/(52)=(1)/(13)`
Hence, the probability that the card is jack is `(1)/(13).`
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