A and B are two events such that and .

Find:

(i) P(A|B) (ii) P(B|A) (iii) P(A^’|B) (iv) P(A^’|B^’)

Two dice are thrown together and the total score is noted. The events E, F and G are ‘a total of 4’, ‘a total of 9 or more’, and ‘a total divisible by 5’, respectively. Calculate P(E), P(F) and P(G) and decide which pairs of events, if any, are independent.

Explain why the experiment of tossing a coin three times is said to have binomial distribution.

Three events A, B and C have probabilities , respectively. Given that and , find the values of P (C | B) and P (A'∩ C').

Let E₁ and E₂ be two independent events such that p(E₁) = p₁ and P(E₂) = p₂.

Describe in words of the events whose probabilities are

(i)P₁P₂

(ii)(1-P₁-2) P₂

(iii)1-(1-P₁) (1-P₂)

(iv)P₁+P₂-2P₁P₂