One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be a black card (i.e., a club or, a spade)
One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be a black card (i.e., a club or, a spade)
When a card is drawn from a well shuffled deck of $52$ cards, the number of possible outcomes is $52$
Let $C$ denote the event 'card drawn is black card'
Therefore, number of elements in the set $C=26$
i.e. $P(C)=\frac{26}{52}=\frac{1}{2}$
Thus, probability of a black card $=\frac{1}{2}$
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- [JEE MAIN 2023]
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