A bag contains 4 white and 2 black balls. Another contains 3 white and 5 black balls. If one ball is drawn from each bag, find the probability that both are white ?

A bag contains 5 black, 3 white and 2 red balls. Three balls are drawn in succession. What is the probability that the first ball is red, the second ball is black and the third ball is white?

Two unbiased coins are tossed. The probability of getting at least one head is:

If A and B are two disjoint events then

A. A ∩ B = Φ

B. P ( A ∩ B ) = 0

C. P ( A ∪ B ) = P (A) + P (B)

D. P ( A ∩ B ) = 1

Choose the correct answer from the options given below:

A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked at random, what is the probability that at least one is blue?

A bag contains 6 red, 4 blue and 10 white balls. A ball is picked from the bag at random. What is the probability that it is neither white nor blue?

A bag contains 4 red, 5 blue and 3 green balls. If two balls are drawn at random from the bag, then which of the following statements are correct?

(A) The probability that both balls are red is $\frac{1}{11}$.

(B) The probability that one ball is red, and one ball is blue is $\frac{10}{33}$.

(C) The probability that both balls are blue is $\frac{5}{33}$.

(D) The probability that both balls are green is $\frac{5}{11}$.

Choose the correct answer from the options given below: