Question
The probabilities of solving a problem by three students
A, B and C are 3/7, 5/9 and 1/5, respectively. The probability that problem will be solved is:Solution
ATQ, P(A) = 3/7, P(B) = 5/9, P(C) = 1/5 All students solves the problem independently, so if at least one of them solves the problem then the problem is considered solved. Probability that the problem is unsolved = [1 – P(A)][1 – P(B)][1 – P(C)] = (64/315) The probability that the problem will be solved = 1 – Probability that the problem is unsolved = (1- (64/315)) = (251/315)
A certain number of women can complete a piece of work in 9 days. If there were 18 women less, it would take 6 days more to complete the same work. If (...
3 men, 4 women and 5 boys can do a piece of work in 15 days, 20 days and 25 days respectively. For first 3 days 3 men and 2 women work together and for ...
- 20 men working 6 hours a day can paint a building in 25 days. If 30 men work 8 hours a day, how many days will it take to paint the building?
Mike and Jenny alone can complete a task in 24 days and 40 days respectively. They aim to finish the work in 'd' days. What percentage increase in Jenny...
A pipe can fill a tank in 14 hours, and B pipe can drain a tank in 21 hours. If a system of N pipes (fill pipes and drain pipes put together) can...
A can do a piece of work in 21 days and B in 28 days. If they together work on it for 5 days, then the fraction of the work that is left is :
A and B can complete a job together in 30 days; B and C can complete the same job together in 25 days, while C and A can complete the same job together ...
Ajay, Bjay, and Cheetna can individually finish a task in 20, 24, and 30 days, respectively. They began working together, but Ajay left the task 10 days...
A’ and ‘B’ together can complete a work in 15 days while ‘A’ takes 20 days to complete the same work alone. If ‘C’ is 50% more efficient t...
Consider that 'A' and 'B' were collectively paid Rs. 9,000 for a job. Out of this amount, 'B' received Rs. 3,000. If 'B' can finish this task solo in 48...
Relevant for Exams:
