Question

A question was given to 5 students A,B,C,D&E. Chances that A,B,C,D &Ewill sove the question are 1/2, 1/3, 1/4 ,1/5 +&1/6 respectively.Find the probability that question will be solved.

Answer 1

Let probability of those who will solve the question .........
Let probability(A)=1/2
(B)=1/3
(C)= 1/4
(D)=1/5
(E)=1/6

NOW let probability if those who will not solve......
let p(A') be 1/2
let p(B') be 2/3
let p(C') be 3/4
let p(D') be 4/5
let p(E') be 5/6

Now calculate the total probability of those who will not solve...
1/2×2/3×3/4×4/5×5/6= 1/6

now calculate p(who all will solve)
1-1/6
5/6.....answer...