Question

The chance she will be successful, is

• A. $0.28$
• B. $0.38$
• C. $0.48$
• D. $0.58$

Answer 1

The correct option is C $0.48$

Given,The probability of a Jee Aspirant to be successful if he studies for 10 hours per day,$P\left(t_{10}\right)=0.8$
The probability of a Jee Aspirant to be successful if he studies for 7 hours per day,$P\left(t_7\right)=0.6$
The probability of a Jee Aspirant to be successful if he studies for 4 hours per day,$P\left(t_4\right)=0.4$
The probability that she will study 10 hours per day,$P\left(A\right)=0.1$
The probability that she will study 7 hours per day,$P\left(B\right)=0.2$
The probability that she will study 4 hours per day,$P\left(C\right)=0.7$
$\therefore Theprobabilitythatshewillbesuccessful,P\left(S\right)=P\left(t_{10}\right)\ast P\left(A\right)+P\left(t_7\right)\ast P\left(B\right)+P\left(t_4\right)\ast P\left(C\right)$
$=0.8\ast 0.1+0.6\ast 0.2+0.4\ast 0.7=0.48$