Question

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 probabilities of India getting at least 7 points is

• A. 0.8750
• B. 0.0875
• C. 0.0625
• D. 0.0250

Answer 1

Answer: (C)

0.0625

Answer 2

India played total four matches. Maximum points in four

matches can be 8.

Atleast 7 points mean 7 or 8 points.

∴ Required probability = P(7) + P(8)

= ${ } ^ { 4 } \mathrm { C } _ { 1 }$ (0.05) (0.5)³ + (0.5)⁴

= 0.0250 + 0.0625

= 0.0875