CUET Mathematics - Two cards are drawn simultaneously at random from a well shuffled pack of 52 Cards. Let X be the random variable which denotes number of kings in the draw. Then the probability distribution of X is | PYQs + Solutions

CUET Mathematics 2025 27 May Shift 1

Algebra

Medium

common

X	0	1	2
P(X)	$\dfrac{^{48}C_2}{^{52}C_2}$	$\dfrac{^4C_1 \times ^{48}C_1}{^{52}C_2}$	$\dfrac{^4C_2}{^{52}C_2}$

X	0	1	2
P(X)	$\dfrac{^4C_2}{^{52}C_2}$	$\dfrac{^4C_1}{^{52}C_2}$	$\dfrac{^4C_2}{^{52}C_2}$

X	0	1	2
P(X)	$\dfrac{^4C_2}{^{52}C_2}$	$\dfrac{^4C_1 \times ^{48}C_1}{^{52}C_2}$	$\dfrac{^{48}C_2}{^{52}C_2}$

X	0	1	2
P(X)	$\dfrac{^4C_2}{^{52}C_2}$	$\dfrac{^{48}C_1}{^{52}C_2}$	$\dfrac{^4C_2}{^{52}C_2}$

✅ Correct Option: 1

Related questions:

26 May Shift 2

If the events A and B are independent, then which of the following statements are true?

(A) P(A∩B) = [1-P(A)] P(B)

(B) A and B are mutually exclusive

(D) P(A∩B) = [1-P(A)] [1-P(B)]

Choose the correct answer from the options given below:

22 May Shift 2

Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. The probability distribution of number of aces is given by:

15 May Shift 2

If the probability that an individual suffers a bad reaction from an injection of a given serum is 0.001. The probability that out of 2000 individuals, more than two individuals suffer from bad reaction is:

[Given that $e^{-2} \approx 0.13534$ ]

CUET Mathematics 2025 27 May Shift 1 PYQs

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