Find the probability of the following if we draw a single card from well shuffled pack of 52 cards. (a) a red jack (b) a queen of any suit (c) ace of club (d) a card from diamond suit
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5/26
Step-by-step explanation:
A standard deck of cards has 52 cards. There are 4 suits in it, namely clubs (♧), diamonds (♢), hearts (❤), and spades (♤). Each suite has 13 cards, namely, ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king.
There are 4 kings out of 52 cards. There are also 4 aces out of 52 cards. There is only 1 jack of clubs out of 52 cards. There is also 1 queen of diamonds out of 52 cards. Now, let us add the probabilities and get their sum.
= 4/52 + 4/52 + 1/52 + 1/52
= 10/52
= 5/26
The probability of a king, ace, jack of clubs, or queen of diamonds appearing in drawing a single card from a well-shuffled ordinary deck of cards is 5/26.
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