Question
Download Solution PDFA question is given to three students A, B and C whose chances of solving it are
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Complement of an event:
The complement of an event is the subset of outcomes in the sample space that are not in the event. A complement is itself an event.
The probability of the complement of an event is one minus the probability of the event.
P (A’) or P (Ac) or
Where, P (A) be probability of Event A and P (A’) or P (Ac) or
Calculation:
Given:
Probability of solving problem by A = P (A) =1/2
Probability of solving problem by B = P (B) =1/3
Probability of solving problem by C = P (C) =1/4
P (problem will not solved by A) = 1 – (1/2) = 1/2
P (problem will not solved by B) = 1 – (1/3) = 2/3
P (problem will not solved by C) = 1 – (1/4) = 3/4
P (Problem will be solved) = 1 – P (problem will not solved by A, B and C)
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