Question 11 - Week 1 Practice | Prasnya
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Week 1
Question 11
00:00
Est. 3 min
Marks:
+3.00
0.00
From a well-shuffled deck of
52
52
cards, four cards are randomly selected without replacement. Let the random variable
X
X
represent the number of queens drawn, and let
Y
Y
represent the number of red cards drawn. Find
P
(
X
=
2
∣
Y
=
2
)
P(X=2\mid Y=2)
.
Single correct
Hard Difficulty
23 February 2025
A
(
2
2
)
(
24
2
)
(
52
4
)
\frac{\binom{2}{2}\binom{24}{2}}{\binom{52}{4}}
B
(
26
2
)
(
26
2
)
(
52
4
)
\frac{\binom{26}{2}\binom{26}{2}}{\binom{52}{4}}
C
(
2
2
)
(
24
2
)
(
26
2
)
(
26
2
)
\frac{\binom{2}{2}\binom{24}{2}}{\binom{26}{2}\binom{26}{2}}
D
(
4
2
)
(
26
2
)
(
26
2
)
(
26
2
)
\frac{\binom{4}{2}\binom{26}{2}}{\binom{26}{2}\binom{26}{2}}
