CUET Mathematics - The probability that a student is not a swimmer is 1/5. Then the probability that out of five students, four are swimmers is : | PYQs + Solutions

CUET Mathematics 2023 22 May Shift 3

Algebra

Easy

$^5C_4 \left(\frac{4}{5}\right)^4 \frac{1}{5}$

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

$^5C_4 \left(\frac{1}{5}\right)^4 \left(\frac{4}{5}\right)$

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

✅ Correct Option: 1

Related questions:

15 May Shift 2

If X is a random variable and a, b are real numbers, then which of the following statements are correct?

(A) $E[aX+b] = a E(X) + b$

(B) $Var (aX + b) = a^2 Var (X) + b$

(D) $Var (X) = E(X^2) - [E(X)]^2$

Choose the correct answer from the options given below:

16 May Shift 1

Three defective bulbs are mixed with $8$ good ones. If three bulbs are drawn one by one with replacement, the probabilities of getting exactly $1$ defective, more than $2$ defective, no defective and more than $1$ defective respectively are:

27 May Shift 1

Let X be a random variable. Let E (X) and Var (X) denote the mean and the variance of X respectively. Then match List-I with List-II

List-I	List-II
(A) If Var (X) = $a$ , then Var (2X + 3) is	(I) 11 $a$
(B) If E (X) = $a$ , then E (2X) is	(II) 6 $a$
(C) If Var (X) = $a$ , then Var(3X - $a$ ) + Var ( $\sqrt{2}x + \beta$ ) is	(III) 4 $a$
(D) If E (X) = $\frac{5a}{12}$ , then E (12X + $a$ ) is	(IV) 2 $a$

Choose the correct answer from the options given below:

CUET Mathematics 2023 22 May Shift 3 PYQs

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