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Question

Bag A contains 3 Red Marbles and 4 Blue Marbles.
Bag B contains 5 Red Marbles and 3 Blue Marbles.
A marble is taken from each bag in turn. What is the probability of getting a marble of each colour?

A
1956
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B
2856
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C
3156
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D
None of these
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Solution

The correct option is D None of these
Total marbles in bag A: 3R+4B=7
Total marbles in bag B: 5R+3B=8

Now a marble has been taken from each bag in turn:
Total cases: (Red from A and Blue from B) or (Blue from A and Red from B)

=37×38+47×58
=956+2056 =2956

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