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Read the passage below and solve the questions based on it.
India plays two matches each with New Zealand and South Africa. In any match, the probability of
different outcomes for India is given below:
Outcome   :     Win        Loss       Draw
Probability :     0.5         0.45        0.05
Points       :       2            0            1
Outcome of all the matches are independent of each other.
1. What is the probability of India getting at least 7 points in the contest? Assume South Africa &
New Zealand Play 2 matches.
(a) 0.025 (b) 0.0875
(c) 0.0625 (d) 0.975
2. What is the probability of South Africa getting at least 4 points? Assume South Africa and New
Zealand play 2 matches.
(a) 0.2025 (b) 0.0625
(c) 0.0425 (d) Can’t be determined

1 Answer

Best answer
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1) P(India getting at least 7 points in the contest) = P(to get 7 points) + P(to get 8 points)

P(to get 7 points) = when winning with New Zealand (2 match) and South Africa (2 match) like [LWWW or WLWW or WWLW or WWWL] = {0.05*0.5^3} * 4 = 0.025

P(to get 8 points) =when india win all 2 match with New Zealand and  all 2 match with South Africa = 0.5^4 = 0.0625

so tatal probility = 0.0875

2) getting of 4 point by South Africa is not determined from following data
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