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Joint Entrance Examination
Mathematics
Probability
Question 232
Question 232 of 417
Medium
MCQ
A bag has 4 red, 6 black balls. A ball is drawn, its colour observed, returned with 2 more of the same colour. A second ball drawn --- find the probability it's red.
A
2
/
5
2/5
2/5
B
1
/
5
1/5
1/5
C
3
/
4
3/4
3/4
D
3
/
10
3/10
3/10
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Solutions · 1
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Official solution
\[P(R_2) = \frac{4}{10}\times\frac{6}{12}+\frac{6}{10}\times\frac{4}{12} = \frac{2}{5}\]
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