1
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The probability that a non leap year selected at random will contain 52 Saturdays or 53 Sundays is

A

$\frac{1}{7}$

B

$\frac{6}{7}$

C

$\frac{2}{7}$

D

$\frac{5}{7}$

2
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

A fair $n$ faced die is rolled repeatedly until a number less than $n$ appears. If the mean of the number of tosses required is $\frac{n}{9}$, then $\mathrm{n}=($ where $\mathrm{n} \in \mathbb{N})$

A

4

B

6

C

8

D

10

3
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

A fair coin is tossed a fixed number of times. If the probability of getting 5 tails is same as the probability of getting 7 tails, then the probability of getting 3 tails is

A

$\frac{44}{2^{13}}$

B

$\frac{55}{2^{10}}$

C

$\frac{55}{2^{13}}$

D

$\frac{44}{2^{10}}$

4
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The probability that a person is not a sportsperson is $\frac{1}{6}$. Then the probability that out of the 6 members of the family, 5 are sportspersons is

A
$\left(\frac{5}{6}\right)^5$
B
$6\left(\frac{5}{6}\right)^5$
C
$5\left(\frac{5}{6}\right)^6$
D
$\left(\frac{5}{6}\right)^6$
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