a problem is given to three people P,Q,R whose respective chances of solving it are 2/7, 4/7, 4/9 respectively. what is the probability that the problem will be solved. the answer is 122/147 but how?
Answers
Given : a problem is given to three people P,Q,R whose respective chances of solving it are 2/7, 4/7, 4/9 respectively.
To Find : Probability that the problem will be solved.
Solution:
Probability of solving by P = 2/7
Probability of not solving by P =1- 2/7 = 5/7
Probability of solving by Q = 4/7
Probability of not solving by Q =1- 4/7 = 3/7
Probability of solving by R = 4/9
Probability of not solving by R =1- 4/9 = 5/9
probability that the problem will be solved = 1 - none of them solve
= 1 - (5/7)(3/7)(5/9)
= 1 - 75/441
= (441 - 75)/441
= 366/441
= 122/147
probability that the problem will be solved = 122/147
Learn More:
Consider a class of The number of different teams ...
brainly.in/question/16030402
A group consists of find the number of ways in which
brainly.in/question/9596481
There are 5 A team of 3 s is formed ...
brainly.in/question/10878881