A bag contains 7 red balls, 11 yellow balls, and 4 pink balls. If two balls are drawn at random from the bag, one after another, what is the probability that the first ball is red and the second ball is yellow?

If $P(E) = 0.05$, what is the probability of 'not E'?

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:

A speaks the truth in 70% of cases and B lies in 40% of cases. The probability that they will say the same thing while describing a single event (to have occurred or not) will be:

The probability that a card drawn from a pack of 52 cards will be a king or a diamond, is?

A and B are mutually exclusive events. The probability of occurrence of A is $\frac{3}{5}$ and the probability of occurrence of B as $\frac{1}{3}$. What is the probability of both A and B occurring at the same time?

What is the probability of getting a sum 6 from two throws of a dice ?