Question

In a game of Archery, each ring of the Archery target is valued. The centremost ring is worth 10 points and rest of the rings are allotted points 9 to 1 in sequential order moving outwards. Archer A is likely to earn 10 points with a probability of 0·8 and Archer B is likely the earn 10 points with a probability of 0·9. Based on the above information, answer the following questions : If both of them hit the Archery target, then find the probability that

Rohit, Jaspreet and Alia appeared for an interview for three vacancies in the same post. The probability of Rohit's selection is 1/5, Jaspreet's selection is 1/3 and Alia's selection is 1/4. The event of selection is independent of each other.