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Question 4 - Week 7 Practice | Prasnya
Q4
00:00
3 Aug 2025
Q4.
What is the probability that exactly
2
2
2
gold and
1
1
1
silver coin are drawn in the first draw?
@passage
A
(
12
2
)
+
(
9
1
)
(
21
3
)
\frac{\binom{12}{2}+\binom{9}{1}}{\binom{21}{3}}
(
3
21
​
)
(
2
12
​
)
+
(
1
9
​
)
​
B
(
12
1
)
×
(
9
2
)
(
21
3
)
\frac{\binom{12}{1}\times\binom{9}{2}}{\binom{21}{3}}
(
3
21
​
)
(
1
12
​
)
×
(
2
9
​
)
​
C
(
12
2
)
×
(
9
1
)
(
21
3
)
\frac{\binom{12}{2}\times\binom{9}{1}}{\binom{21}{3}}
(
3
21
​
)
(
2
12
​
)
×
(
1
9
​
)
​
D
(
12
2
)
(
21
3
)
\frac{\binom{12}{2}}{\binom{21}{3}}
(
3
21
​
)
(
2
12
​
)
​
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Q4
00:00
3 Aug 2025
Q4.
What is the probability that exactly
2
2
2
gold and
1
1
1
silver coin are drawn in the first draw?
@passage
A
(
12
2
)
+
(
9
1
)
(
21
3
)
\frac{\binom{12}{2}+\binom{9}{1}}{\binom{21}{3}}
(
3
21
​
)
(
2
12
​
)
+
(
1
9
​
)
​
B
(
12
1
)
×
(
9
2
)
(
21
3
)
\frac{\binom{12}{1}\times\binom{9}{2}}{\binom{21}{3}}
(
3
21
​
)
(
1
12
​
)
×
(
2
9
​
)
​
C
(
12
2
)
×
(
9
1
)
(
21
3
)
\frac{\binom{12}{2}\times\binom{9}{1}}{\binom{21}{3}}
(
3
21
​
)
(
2
12
​
)
×
(
1
9
​
)
​
D
(
12
2
)
(
21
3
)
\frac{\binom{12}{2}}{\binom{21}{3}}
(
3
21
​
)
(
2
12
​
)
​
Save
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Check
Details