A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
A
1/4
B
2/3
C
1/2
D
3/4
Correct Answer: 3/4
P(A) = ½P(B) = ⅓P(C) = ¼P(Å) = 1-P(A) = ½P(Ḃ) = 1-P(B) = ⅔P(ḉ) = 1-P(C) = ¾P(problem will be solved) = 1- P(Å)P(Ḃ)P(ḉ)=1 - ½ x ⅔ x ¾ = ¾