List of top Mathematics Questions on Independent Events asked in KEAM

Given \( y = 4e^{-x} - 2e^{-2x} - e^{-3x} \), find \( y'' \).
Given the following probabilities: \[ P(A) = 0.7, P(B) = 0.5, P(A \cup B) = 0.9, \quad \text{find} \quad P(A/B) \]
Find the probability of getting at most 2 heads when 4 coins are tossed.
If \( A \) and \( B \) are two independent events such that \( P(A) = 0.4 \) and \( P(A \cup B) = 0.7 \), then \( P(B) \) is equal to:
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: