Question

India plays two hockey matches each with Pakistan and England. In any match, the probabilities of India getting points $0,1,2$ are $0.4,0.1,0.5$ respectively. Assuming that the outcomes are independent, the probability of India getting $7$ points is?

• A. $0.0125$
• B. $0.05$
• C. $0.250$
• D. $0.005$

Answer 1

The correct option is B $0.05$

Given India played 2 hockey matches each

with Pakistan and England. So, in total they

Played 4 Matches.

The Probability of getting points $0,1,2$

are $0.4,0.1,0.5$ respectively

We need to get 7 points

Which can be possible in 4 ways

$2+2+2+1$

$2+2+1+2$

$2+1+2+2$

$1+2+2+2$

For each of these, the probability $\left(0.5{)}^3\right(0.1)$

$=0.0125$

$\therefore$ The probability $=4\times 0.0125$

$=0.05$