Question
Download Solution PDFThe probability that a card drawn from a pack of 52 cards will be a diamond or king is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept Used:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Calculation:
Total number of cards = 52
Number of diamond cards = 13
Number of king cards = 4
Number of cards that are both diamond and king = 1
Number of favorable outcomes (diamond or king) = (Number of diamond cards) + (Number of king cards) - (Number of cards that are both diamond and king)
⇒ Number of favorable outcomes = 13 + 4 - 1 = 16
Probability of drawing a diamond or a king = (Number of favorable outcomes) / (Total number of cards)
⇒ Probability = 16 / 52
⇒ Probability = 4 / 13
∴ The probability that a card drawn from a pack of 52 cards will be a diamond or king is 4/13.
Hence option 3 is correct
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