List of top Mathematics Questions on Probability asked in CUET (UG)

A bag contains 6 white and 4 black ball. Two balls are drawn at random. Then the probability of getting balls of the same colour is ___.

Ram and Shyam are playing a game by throwing a die alternatively till one of them gets a '\('1'\) and wins the game. The probabilities of winning by Ram and Shyam respectively if Ram starts first, is

A pair of dice is thrown and sum of the numbers on two tosses is observed. Which of the statements are correct

In a game. a child will win Rs 5 if he gets all heads or all tails when three coins are tossed simultaneously and he will lose Rs 3 for all other cases. The expected amount to lose in the game is

A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is either Ace or a King?

Let $E_{1}$ and $E_{2}$ be two independent events. If $P(E_{1}' \cap E_{2}) = \frac{2}{15}$ and $P(E_{1} \cap E_{2}') = \frac{1}{6}$, then $P(E_{1})$ is ________.