CUET Mathematics - A lot of 50 watches is known to have 10 defective watches. If 8 watches are selected one by one with a replacement at random, then the probability that there will be at least one defective watch is: | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 2

Algebra

Medium

applied

$1 - \left(\frac{2}{5}\right)^8$

$1 - \left(\frac{4}{5}\right)^{10}$

$1 - \left(\frac{1}{5}\right)^8\left(\frac{4}{5}\right)^8$

$1 - \left(\frac{1}{5}\right)^2\left(\frac{4}{5}\right)^6$

✅ Correct Option: 1

Related questions:

29 May Shift 2

If the binomial distribution $X\sim B(n, p)$ of mean 3 and variance $\frac{3}{2}$ $(p + q) = 1$ , then which of the following is/are TRUE?

(A) $q = \frac{1}{2}$ , $n = 6$

(B) $P(X \leq 5) = \frac{63}{64}$ , $p = \frac{1}{2}$

(D) $P(X = 4) = \frac{15}{64}$ , $n = 6$

Choose the correct answer from the options given below:

29 May Shift 2

Match List-I with List-II

If the random variable x has the following distribution:

x	0	1	2	otherwise
P(x)	k	k	2k	0

Choose the correct answer from the options given below:

21 May Shift 1

A die is thrown 6 times. If getting an odd number is a success, then the probability of at least 5 successes is

CUET Mathematics 2025 14 May Shift 2 PYQs