CUET Mathematics 2025 13 May Shift 1 PYQs

If X is a random variable which can assume values 0, 1, 2, 3 or 4 such that P(X = 1) = P(X = 2) and 3P(X = 3) = 4P(X = 4) = P(X = 0) = $\frac{1}{4}$, then P(X > 0) is:

The probability that it will rain on any particular day is 50%. The probability that it rains only on the first 4 days of the week is:

An urn contains 5 red and 5 black balls. A ball is drawn at random, its color is noted and is returned to the urn. Moreover, 2 additional balls of the same color are put in the urn and then a ball is drawn at random. The probability that the second drawn ball is red, is: