Question
Two cards are drawn successively without replacement
from a standard deck of 52 cards. Find the probability that both cards are aces.Solution
Total cards = 52, aces = 4. P(first card is ace) = 4/52 = 1/13 After drawing one ace, remaining aces = 3, remaining cards = 51 P(second card is ace | first ace) = 3/51 = 1/17 Required probability = (1/13) × (1/17) = 1/221 Answer: 1/221.
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16, 17, 35, 106, 425, ?