ProbabilityMedium
Question
In a maths paper there are 3 sections A, B & C. Section A is compulsory. Out of section B & C a student has to attempt any one. Passing in the paper means passing in A & passing in B or C. The probability of the student passing in A, B & C are p, q & 1/2 respectively. If the probability that the student is successful is 1/2 then, which of the following is false -
Options
A.p = q = 1
B.p = q = 1/2
C.p = 1, q = 0
D.p = 1, q = 1/2
Solution
P(A) : denotes passing in A
P(B) : denotes passing in B
P(C) : denotes passing in C
P(A) = p, P(B) = q, P(C) =
= p.
2pq + p = 2
Now check options
P(B) : denotes passing in B
P(C) : denotes passing in C
P(A) = p, P(B) = q, P(C) =
= p.
2pq + p = 2
Now check options
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