Exercise · ZW-CLASSICAL-PROBABILITY-008 · ★★☆ Intermediate
Two cards are drawn at random, without replacement, from a 52-card deck. What is the probability that both are aces?
Choose one option.
Show answer
- B. \(\frac{1}{221}\)
Explanation
The favorable cases number \(\binom42=6\) and the possible ones \(\binom{52}{2}=1326\): \(\frac{6}{1326}=\frac1{221}\). The value \(\frac1{169}\) would assume drawing with replacement.
Review the concept: Classical probability
The classical probability \(P(A)\) of an event \(A\), when the sample space \(\Omega\) is finite with equally likely outcomes, is the ratio of favorable to possible outcomes.
\[P(A)=\frac{|A|}{|\Omega|}\]
More practice problems: classical probability
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- ZW-CLASSICAL-PROBABILITY-006 Two fair dice are rolled. What is the probability that the sum is at least 9?
- ZW-CLASSICAL-PROBABILITY-007 Two fair dice are rolled. What is the probability of getting at least one 6?
- ZW-CLASSICAL-PROBABILITY-009 Two fair coins are tossed and someone reasons with Omega=\0,1,2\ heads: “P(one head)=13”. What is t…
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