India Plays Two Matches Each With West Indies And Australia. In Any M

1.	India Plays Two Matches Each With West Indies And Australia. In Any Match The Probabilities Of India Getting Points 0, 1, 2 Are 0.45, 0.05 And 0.50 Respectively. Assuming That Outcomes Are Independent, The Probability Of India Getting At Least 7 Points Is
Answer» Getting 7 POINTS is possible in 2 cases. Case 1: India WINS all 4 matches. Probability: (.5)4 = .0625. Case 2: India wins any of the 3 matches and draws the REMAINING match. This can happen in total 4 ways. Probability: 4 x (.50)3 x (.05) = .025. So, required probability: .0625 + .025 = .0875 Getting 7 points is possible in 2 cases. Case 1: India wins all 4 matches. Probability: (.5)4 = .0625. Case 2: India wins any of the 3 matches and draws the remaining match. This can happen in total 4 ways. Probability: 4 x (.50)3 x (.05) = .025. So, required probability: .0625 + .025 = .0875

India Plays Two Matches Each With West Indies And Australia. In Any Match The Probabilities Of India Getting Points 0, 1, 2 Are 0.45, 0.05 And 0.50 Respectively. Assuming That Outcomes Are Independent, The Probability Of India Getting At Least 7 Points Is

Answer»

Getting 7 POINTS is possible in 2 cases.

Case 1: India WINS all 4 matches.

Probability: (.5)4 = .0625.

Case 2: India wins any of the 3 matches and draws the REMAINING match. This can happen in total 4 ways. Probability: 4 x (.50)3 x (.05) = .025.

So, required probability: .0625 + .025 = .0875

Getting 7 points is possible in 2 cases.

Case 1: India wins all 4 matches.

Probability: (.5)4 = .0625.

Case 2: India wins any of the 3 matches and draws the remaining match. This can happen in total 4 ways. Probability: 4 x (.50)3 x (.05) = .025.

So, required probability: .0625 + .025 = .0875