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There are 5 red and 3 black balls in fir...

There are 5 red and 3 black balls in first bag and 4 red and 5 black balls i second bag. A ball is drawn from one of the bags. Find the probability that the ball drawn is red.

Text Solution

Verified by Experts

The correct Answer is:
N/a
Probability of selecting one bag out of two bags `=1/2`
Probability of drawing a red ball from first bag
`=1/2xx5/8=5/16`
Probability of drawing a red ball from second bag
`=1/2xx4/9=2/9`
Both events are mutually exclusive.
Therfore, the required probability.
`=5/16+2/9=77/144`
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