Two dice are thrown simultaneously. If X denotes the number of sixes, then the variance of X is: Option 1: 5/18 Option 2: 7/18 Option 3: 1/3 Option 4: 2/3

The answer is '5/18'. View full solution:

CUET Mathematics - Two dice are thrown simultaneously. If X denotes the number of sixes, then the variance of X is: | PYQs + Solutions

CUET Mathematics 2022 25 May Shift 1

Algebra

Easy

$\frac{5}{18}$

$\frac{7}{18}$

$\frac{1}{3}$

$\frac{2}{3}$

✅ Correct Option: 1

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A random variable X follow Poisson distribution such that P(X=1) = 2P(X=2) , then P(X=0) is

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Match List-I with List-II

if $P(A) = \frac{3}{7}$ , $P(B) = \frac{4}{7}$ and $P(A \cup B) = \frac{5}{7}$

List-I	List-II
(A) $P(A \cap B)$	(I) $\dfrac{2}{3}$
(B) $P(A \mid B)$	(II) $\dfrac{5}{7}$
(C) $P(B \mid A)$	(III) $\dfrac{1}{2}$
(D) $P(A' \cup B')$	(IV) $\dfrac{2}{7}$

Choose the correct answer from the options given below:

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In a hospital, there are 300 patients, out of which 120 are female. It is known that out of 120 females, 10% of the patients are below 40 years of age. What is the probability that a patient chosen randomly is below 40 yrs of age given that the chosen patient is a female.

CUET Mathematics 2022 25 May Shift 1 PYQs

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