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Amit Kumar Dash

· started a discussion

· 1 Months ago

probability (Question: 40283.0 )

factorial of 3 is missing in the denominator.

Question:
From a well shuffled pack of 52 cards, if three cards are drawn in succession  without replacement, what is the probability that the first one is an ace, the second a king and third a jack?
Options:
A) \(\cfrac{1}{5525}\)
B) \(\cfrac{7}{16575}\)
C) \(\cfrac{16}{5525}\)
D) \(\cfrac{8}{16575}\)
E) None of these
Solution:
\(\cfrac{4}{52}\times\cfrac{4}{51}\times\cfrac{4}{50}=\cfrac{8}{16575}\)

Knowledge Expert

· commented

· 1 Months ago

@Amit: When first card is withdraw total sample space is =52.
And n(E)= 4.
After first card withdraw n(s)= 51 and n(E)=4.
After second card is withdrawn n(s)= 50 and n(E)=4.
So, their is no need of factorial 3.
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