ESE 2021 Technical Quiz || Joint & Conditional Probability Probability Distribution Function

A bag contains 4 white and 2 black balls and another bag contains 3 of each colour. A bag is selected at random and a ball is drawn at random from the bag chosen. The probability of the white ball drawn is

A box contains 50 tokens numbered as 1, 2, 3, …., 50 of which four tokens are drawn at random and arranged in ascending order (t₁ < t₂ < t₃ < t₄), then the probability of t₃ being 30 is:

Consider PDF:

then k = _________

Two persons A and B take turns in throwing a pair of dice. The first person to throw 9 from both dice well be awarded the prize. If A throws first, then the probability that B wins the game is

For continuous random variable if PDF is . Then the mean value will be _____.