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
Answers
Thank you for asking this question. The options for this question are missing, here are the missing options:
A. 0.0625
B. 0.06875
C. 0.0825
D. 0.0875
E. 0.875
Answer:
India wins = W = 2 pt
India loses = L = 0 pt
India draws = D = 1 pt
Total matches played by India = 4
This means that the total points needs to be 7 at least
Either India wins all 4 matches
or (2) India wins 3 and draws 1
the probability of WWWW = (0.5)*(0.5)*(0.5)*(0.5) = 0.0625 (this is when if india wins 4 matches)
India wins 3 matches and draws 1: probability in that case = (0.5)*(0.5)*(0.5)*(0.05) = 0.00625
The 4 possible outcomes will be:
WWWD, WWDW, WDWW, DWWW
Total probability of India wins 3 matches and draws 1 = 4*(0.00625) = 0.025
probability of total points have to be at least 7 = 0.0625 + 0.025 = 0.0875
The correct answer is Option D
If there is any confusion please leave a comment below.