Paragraph: A JEE aspirant estimates that she will be successful with an 80 % chance if she studies 10 hours per day, with a 60 % chance if she studies 7 hours per day and with a 40 % chance if she studies 4 hours per day. She further believ

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Paragraph: A JEE aspirant estimates that she will be successful with an 80 % chance if she studies 10 hours per day, with a 60 % chance if she studies 7 hours per day and with a 40 % chance if she studies 4 hours per day. She further believes that she will study 10 hours, 7 hours and 4 hours per day with probabilities 0.1,0.2 and 0.7 respectively. Question: The change she will be successful is

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Correct answer: C. 0.48

A: She gets success T : She studies 10 hours; P ( T )=0.1 S : She studies 7 hours; P ( S )=0.2 F : She studies 4 hours: P ( F )=0.7 aligned & P ( A T )=0.8 ; P ( A S )=0.6 ; P ( A F )=0.4 & P(A)=P(A T)+P(A S)+P(A F) & =0.48 aligned

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