CUET Mathematics 2026 18th May Shift 2 PYQs

The probability of drawing a one-hundred rupee currency from two boxes one of which contain 3 fifty-rupee currency and 2 one-hundred rupee and other box contain 2 fifty-rupee currency and 3 one-hundred rupee currency notes is-

A farmer has a tubewell which works by connecting two switches $S_1$ and $S_2$. The probability that $S_1$ works is 9/10 and the probability that $S_2$ works is 8/10. The farmer connects them in series in 30% cases and in parallel in 70% cases. If it is known that the tubewell was working, what is the probability that it was a series connection.

Which of the following are the properties of Normal Distribution function f(x) and Normal probability curve:

(A) The probability of success remains the same in each trial and the number of trials is small in number.

(B) The curve is bell-shaped and is symmetrical about the mean.

(C) If set of n trials are repeated N times, then frequency f(r) of r successes is given by f(r) = N.p(r) = N$e^{-m\frac{m^r}{r!}}$, r=0,1,2,...

(D) As x increases numerically, f(x) decreases rapidly and the maximum value of f(x) occurs at x=μ(mean)

Choose the correct answer from the options given below: