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

What is the probability that at least one of them is selected?
A card from a well-shuffled deck of 52 playing cards is lost. From the remaining cards of the pack, a card is drawn at random and is found to be a King. Find the probability of the lost card being a King.
The probability distribution of a random variable \( X \) is: 
\[\begin{array}{c|c|c|c|c|c} \hline X & 0 & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.1 & k & 2k & k & 0.1 \\ \hline \end{array}\]
 where \( k \) is some unknown constant. The probability that the random variable \( X \) takes the value 2 is: 
 
If \( P(A \mid B) = P(A' \mid B) \), then which of the following statements is true?
If \( P(A | B) = P(A' | B) \), then which of the following statements is true?