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A JEE aspirant estimates that she will b...

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

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A JEE aspirant estimates that she will be successful with an 80 percent chance if she studies 10 hours per day, with a 60 percent chance if she studies 7 hours per day and with 40 percent 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.

A JEE aspirant estimates that he will be successful with an 80% chance if he studies 10 hr/day with 60% chance if he studies 7hr/day and with 40% chance if he studies 4 hr/day. Further, he believes that he will study 10 hr, 7hr and 4 hr/day with probability 0.1, 0.2 and 0.7 respectively. Given that he is successful, the probability that he studies for 4 hr/day equals.