Answer:
If the probability that a problem will be solved by three people is 1/2, 1/3 and 1/6, then what is the probability that the problem will be solved?
Probability of A solving the problem = P(A) = 1/2
Probability of B solving the problem = P(B) = 1/3
Probability of C solving the problem = P(C) = 1/6
Problem will be solved when i) either one of A, B, C solve the problem, ii) two of A, B, C solve the problem, OR iii) all of A, B, C solve the problem
Problem will not be solved when - all of A, B, C are not able to solve the problem
Probability of A not solving the problem = P(A) = 1/2
Probability of B not solving the problem = P(B) = 2/3
Probability of C not solving the problem = P(C) = 5/6
Probability of problem not being solved = A, B, C not solving the problem simultanously = P(A)*P(B)*P(C) = (1/2)*(2/3)*(5/6)
= 5/18
Probability of problem being solved = 1 - probability of problem not being solved
= 1 - (5/18) = 13/18
Author:
cozmonewman
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5Answer:
The probability of completing the task on time is 5/6
Step-by-step explanation:
Given the probabilities of completion of a task by the employees
A, P(A) = 2/3
B, P(B) = 1/4
C, P(C) = 1/5
D, P(D) = 1/6
Now if we compute the probabilities of not completing a task we get
P'(A) = 1/3
P'(B) = 3/4
P'(C) = 4/5
P'(D) = 5/6
The task will not be completed if none of them is complete the task on time.
P(not completing the task) = 1/3x3/4x4/5x5/6 = 1/6
Now the probability of completing the task is 1-1/6 = 5/6
Author:
cupcakecurtis
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5