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 probability of India getting a t least 7 points, is

• A. 0.875
• B. 0.0875
• C. 0.0625
• D. 0.025

Answer 1

Answer: (B)

0.0875

Answer 2

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
$=^ 4 C _3 (0.05) ( 0.5)^3 + ^4 C _4 (0.5)^4$
$= [4(0.05) + 0.5 ] (0.5)^3 = 0.0875$