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Question

The chance she will be successful, is


A
0.28
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B
0.38
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C
0.48
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D
0.58
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Solution

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

Mathematics

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