Q. India plays a two ODI matches each with Australia and Pakistan. The probability of India getting points 0,1,2 are 0.45, 0.05, 0.50. The probability of India getting at least 7 points in the series is
A) 0.00875
B) 0.875
C) 0.0875
D) None of these
Explanation
(c)
Maximum points in four matches can be 8 only. Therefore, at least 7 points means 7 or 8 points
$\therefore$Required probability$= P(7) + P(8)$
$= \ ^{4}C_{1}(0.05)(0.5)^{3} + (0.5)^{4}$
$= 0.0250 + 0.0625$
$= 0.0875$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.