If `P(A_1) = 0.2`, `P(A_2) = 0.1` and `P(A_3) = 0.3` and these events are mutually independent, then what is the value of `P(A_1 nn A_2 nn A_3)`?

If P(A_1) = 0.3 , then P(A_1^C) = ?

If for independent events A and B, P(A) = 0.3, P(B) = 0.6, then what will be the value of P(A nn B) ?

If A_1 , A_2 , A_3 are mutually exclusive, mutually independent and exhaustive, then the probability that A_1 , A_2 , A_3 occur simultaneously is

If A_1 , A_2 , A_3 are mutually exclusive and exhaustive, then P(A_1) + P(A_2) + P(A_3) equal______

Prove that, if A_1 and A_2 are two events, which are not necessarily mutually exclusive then P(A_1 uu A_2) = P(A_1) + P(A_1 nn A_2)

A and B are two independent events P(A) = 1/3 and P(A nnB) = 1/6 , then P(A^C nn B^C) will be

For three event A_1 , A_2 and A_3 state and prove Bonferroni's inequality.

If A_1,A_2, A_3 , are equally likely, exhaustive and mutually exclusive then P(A_1) equals

Given 2 mutually exclusive events A and B such that P(A) = 0.45, P(B) = 0.35. Then the value of P(A nn B) wqill be

An urn contains 4 tickets having the nos. 112, 121, 211, 222. A ticket is drawn at random. The even A_i = the event that the i^(th) digit is 1 (I = 1 to 3). Shwo that the events A_1 , A_2 , A_3 are pair wise independent but not mutually independent.