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JEE Main Math Class 12 Probability Part 1 Questions
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© examsnet.com
Question : 43
Total: 100
A box 'A' contanis 2 white, 3 red and 2 black balls. Another box 'B' contains 4 white, 2 red and 3 black balls. If two balls are drawn at random, without replacement, from a randomly selected box and one ball turns out to be white while the other ball turns out to be red, then the probability that both balls are drawn from box 'B' is
[Online April 15, 2018]
7
16
9
32
7
8
9
16
Validate
Solution:
Probability of drawing a white ball and then a red ballfrom bag
B
is given by
4
C
1
×
2
C
1
9
C
2
=
2
9
Probability of drawing a white ball and then a red ball frombag
A
is given by
2
C
1
×
3
C
1
7
C
2
=
2
7
Hence, the probability of drawing a white ball and then ared ball from bag
B
=
2
9
2
7
+
2
9
=
2
×
7
18
+
14
=
7
16
© examsnet.com
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