Q. AJEE aspirant estimates that he will be successful with an $80 \%$ chance if he studies $10 hr$. / day with $60 \%$ chance if he studies $7 hr$. /day and with $40 \%$ chance if he studies $4 hr /$ day. Further, he believe that he will study $10 hr$., $7 hr$. 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 $\frac{ p }{ q }$ where $p$ and $q$ are relatively prime positive integers. Find the value of $(q-p)$.
Probability - Part 2
Solution: