Question

1. State the general inclusion-exclusion formula for n events.
For any events Ci, P(C;) = pi , i = 1,2,3; P(Cing;) = Pij, i, j = 1,2,3, i + j;
P(Cin Cz n C3) = P123. Find the probability that out of the three events
(i) at least one happens,
(ii) exactly one happens.
Also prove that
Pi + P2 + P3 > P12 + P13 + P23 > P123.
I
“A” speaks truth 4 out of 5 times. A die is rolled. “A” report that there is a six. What
is the chance that actually there is a six?​

Answer 1

Answer:

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