Most Important Selected Qs for JEE AdvancedMathematicsProbability
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: Given that she is successful, the chance that she studied fo
Options
- A6 12
- B7 12
- C8 12
- D9 12
Correct answer
B. 7 12
Step-by-step solution
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 )=0.7P ( F A )= P(F A) P(A) = 7 12