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CUET Mathematics 2024 PYQs

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CUET Mathematics 2024

Algebra

>

Probability

Easy

The probability of not getting $53$ Tuesdays in a leap year is :

\frac27

\frac17

0

\frac57

Correct Option: 4

Leap year has 366 days = 52 weeks + 2 days.

2 favorable cases (starting on Monday/Tuesday) out of 7 possible starting days.

Starting Day	Extra Days	53 Tuesdays?
Monday	Mon, Tue	Yes
Tuesday	Tue, Wed	Yes
Wednesday	Wed, Thu	No
Thursday	Thu, Fri	No
Friday	Fri, Sat	No
Saturday	Sat, Sun	No
Sunday	Sun, Mon	No

Probability not 53 Tuesdays

= 1 - \dfrac{2}{7} = \dfrac{5}{7}

.

Related questions:

CUET Mathematics 2024

If the random variable

X

has the following distribution:

$X$	0	1	2	otherwise
$P(X)$	$k$	$2k$	$3k$	$0$

Match List-I with List-II:

List-I	List-II
(A) $k$	(I) $\frac{5}{6}$
(B) $P(X < 2)$	(II) $\frac{4}{3}$
(C) $E(X)$	(III) $\frac{1}{2}$
(D) $P(1 \leq X \leq 2)$	(IV) $\frac{1}{6}$

CUET Mathematics 2024

A die is rolled thrice. What is the probability of getting a number greater than

4

in the first and the second throw of dice and a number less than

4

in the third throw ?

CUET Mathematics 2024

Two dice are thrown simultaneously. If X denotes the number of fours, then the expectation of X will be :