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Question
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that at the card drawn is neither a red card nor a queen.
Solution
n(S) = 52.
Event = {getting neither a red card nor a queen}
∴ There are 26 red cards and 2 more queens are there.
Number of cards each one of which is either a red card or a queen = 28.
The event that the card drawn is neither a red card nor a queen = 52 - 28 = 24.
n(E) = 24
n(S) = 52
P(E) = ?
∴ P(E) = `"n(E)"/"n(S)" = 24/52 = 6/13.`
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