List of top Mathematics Questions on Independent Events

Let $A$ and $B$ are independent events with $\text{P(B)} = \frac{2}{5}, \text{P(A} \cup \text{B)} = \frac{11}{20}$, then $\text{P(A}' | \text{B)}$ is root of the equation}
Let $A$ and $B$ are independent events with $\text{P(B)} = \frac{2}{5}, \text{P(A} \cup \text{B)} = \frac{11}{20}$, then $\text{P(A}' | \text{B)}$ is root of the equation}
In a kabaddi league, two matches are being played between Jaipur and Delhi. It is assumed that the outcomes of the two games are independent. The probability of Jaipur winning, drawing and losing the game against Delhi are \( \frac{1}{2} \), \( \frac{3}{10} \), and \( \frac{1}{5} \) respectively. Each team gets 5 points for win, 3 points for draw and 0 points for loss in a game. After two games, find the probability that Jaipur has more points than Delhi.
If \(A\) and \(B\) are two such events that \(P(A \cup B) = P(A \cap B)\), then which of the following is true?
Three players A, B and C play a game. The probability that A, B and C finish the game are respectively \( \frac{1}{2}, \frac{1}{3}, \frac{1}{4} \). The probability that the game is finished is
Three players A, B and C play a game. The probability that A, B and C finish the game are respectively \( \frac{1}{2}, \frac{1}{3}, \frac{1}{4} \). The probability that the game is finished is
The standard deviation of 9, 16, 23, 30, 37, 44, 51 is:
The standard deviation of 9, 16, 23, 30, 37, 44, 51 is:
The standard deviation of 9, 16, 23, 30, 37, 44, 51 is:
If P(A B)=23, P(A B)=16 and P(A)=13, then
If $A$ and $B$ are independent events, then $P(A \cap B)$ is: