MHT CET 2025 26th April Evening Shift | Probability Question 5 | Mathematics

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 $\mathrm{n} \in \mathbb{N})$

MHT CET 2025 26th April Evening Shift

MCQ (Single Correct Answer)

-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

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

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

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

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

MHT CET 2025 26th April Morning Shift

MCQ (Single Correct Answer)

-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

$\left(\frac{5}{6}\right)^5$

$6\left(\frac{5}{6}\right)^5$

$5\left(\frac{5}{6}\right)^6$

$\left(\frac{5}{6}\right)^6$

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