Math, asked by sombirlathwal1985, 8 months ago

probability of solving specific problem independently by A,B,C are 1/2,1/3,1/4. If they all try the problem independently,find the probability that problem is solved.

Answers

Answered by knjroopa

Step-by-step explanation:

Given Probability of solving specific problem independently by A,B,C are 1/2,1/3,1/4. If they all try the problem independently, find the probability that problem is solved.

Probability that A will be able to solve the problem will be P(A) = 1/2
Probability that B will be able to solve the problem will be P(B) = 1/3
Probability that C will be able to solve the problem will be P(C) = 1/4
Probability that A will not be able to solve the problem will be P (a) = 1 – P (A)
= 1 – 1/2
= 1/ 2
Probability that B will not be able to solve the problem will be P (b) = 1 – P (B)
= 1 – 1/3
= 2/3
Probability that C will not be able to solve the problem will be P (c) = 1 – P (C)
= 1 – 1/4
= 1/4
Now A,B,C are independent, the probability that none of them will be able to solve if all of them try independently will be P(a) x P(b) x P(c)
= 1/2 x 2/3 x 1/4
= 2 / 24
= 1 / 12
Therefore the probability that the problem will be solved will be
= 1 – P(a) x P(b) x P(c)
= 1 – 1/12
= 11/12

Reference link will be

https://brainly.in/question/9159532

Answered by dineshcena22

Step-by-step explanation:

The probability that A can solve a problem in Statistics is 4/5, that B can solve it is 2/7, that C can solve it is 4/9. If all them try independently, find the probability that the problem will be solved.

Previous Question

Next Question

probability of solving specific problem independently by A,B,C are 1/2,1/3,1/4. If they all try the problem independently,find the probability that problem is solved.​

Answers

probability of solving specific problem independently by A,B,C are 1/2,1/3,1/4. If they all try the problem independently,find the probability that problem is solved.