Question
Download Solution PDFThree candidates solve a question. Odds in favour of the correct answer are 5 : 2, 4 : 3 and 3 : 4 respectively for the three candidates. What is the probability that at least two of them solve the question correctly?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Let an event A, Probability of occurring of A be P (A) and not occurring of A be P (Ac)
Calculation:
Let A, B, C be the three students.
Let P(A), P(B), P(C) be the probabilities that students A,B and C answer the question correctly.
We know that,
Odds in favour of A
(Odds in favour of A)+1
Equation 1 divide by 2, we get
Similarly,
Probability that at least two candidates solve correctly,
P(E) = P(A)P(B)P(Cc) + P(A)P(Bc)P(C) + P(Ac)P(B)P(C) + P(A)P(B)P(C)
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