CUET Mathematics 2026 15th May Shift 1 PYQs

If 0.1% of the bolts manufactured by a machine are found to be defective. Find the probability that, in a sample of 2000 bolts chosen at random, exactly 3 will be defective using the Poisson distribution. [Given $e^{-2} =0.1353$]

A coin is tossed until a head appears, or the tail appears 4 times in succession, then the probability distribution of the number of tosses is

Ajay is a vendor who informs that there are 2% rotten apples in the fruit bag. Find the probability that a sample of 10 apples will include not more than one rotten apple.