List of top Higher Mathematics Questions on Probability

Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number?
An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. Suppose that the probability of drawing each ball is the same. What is the probability that both drawn balls are black?
If \( A \) and \( B \) are two independent events with \( P(A) = 0.3 \) and \( P(B) = 0.4 \), then find \( P(B|A) \)