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India plays two matches each with West I...

India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points `0, 1 and 2` are `0.45, 0.05 and 0.50` respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is

A

`0.8750`

B

0.0875

C

0.0625

D

`0.0250`

Text Solution

Verified by Experts

The correct Answer is:
B
India play 4 matches and getting at least 7 points. It can only be possible in WWWD or WWWW position, where W represents two points and D represents one point. Therefore, the probability of the required event
`overset(4)""C_(3)(0.05)(0.5)^(3)+overset(3)""C_(4)(0.5)^(4)`
`=[4(0.5)+0.5](0.5)^(3)=0.0875`
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