List of top Mathematics Questions on Odds of an Event asked in CUET (UG)

Two independent events \( A \) and \( B \) have individual probabilities of occurring given by \( P(A) = 0.4 \) and \( P(B) = 0.5 \). Find the probability that at least one of these two events occurs.

An unbiased coin is tossed twice. Let event \( A \) represent getting a head on the first toss, and event \( B \) represent getting a head on the second toss. Determine the mathematical relationship between events \( A \) and \( B \).