List of top Mathematics Questions on Conditional Probability asked in CBSE CLASS XII

Let \( E \) be an event of a sample space \( S \) of an experiment, then \( P(S | E) \) is:
A pair of dice is thrown simultaneously. If \( X \) denotes the absolute difference of the numbers appearing on top of the dice, then find the probability distribution of \( X \).
Let \( E \) be an event of a sample space \( S \) of an experiment, then \( P(S | E) \) is:
E and F are two independent events such that \( P(\overline{E}) = 0.6 \) and \( P(E \cup F) = 0.6 \). Find \( P(F) \) and \( P(\overline{E} \cup \overline{F}) \).
If \( P(A|B) = P(A'|B) \), then which of the following statements is true?