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 at least $7$ points is

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

Answer 1

Answer: (B)

$0.0875$

Total points should be$\ge 7$
Possible scores are

Points =7
Sequence of points will be
$1,2,2,2$
$P\left(7\right){=}^4{C}_1(0.5{)}^{3}0.05=0.025$

Points =8
Sequence of points will be
$2,2,2,2$
$P\left(8\right)=(0.5{)}^4=0.0625$

Points >7
$P(\ge 7)=0.0625+0.025=0.0875$