Question

If India wins triangular series cup to be played in Sarjaha, A wins Rs. $2500$, otherwise he loses Rs. $1200.$ Chances of India winning the triangular series cup is $60\%$. the expected value of earning of A is:

• A. Rs. $1020$
• B. Rs. $1500$
• C. Rs. $1350$
• D. Rs. $1300$

Answer 1

The correct option is A Rs. $1020$

Probability of India winning triangular series cup $=0.6=p_1$

Probability of not India winning triangular series cup $=0.4=p_2$

$\Rightarrow n_1=Rs.2500$ $n-2=-\left(Rs.1200\right)$

$\therefore$ Expectation $=n_1{p}_1+n_2{p}_2$

$=2500\times 0.6+1200\times 0.4$

$=Rs.1020$

Hence, the answer is Rs. $1020.$