MHT CET 2026 19th April Evening Shift | Probability Question 9 | Mathematics

Bag A contains 3 white and 5 black balls while bag B contains 4 white and 3 black balls. A ball is selected at random from bag A and put in bag B. If a ball is now selected at random from bag B then the probability that this ball is white ball is...

$\dfrac{20}{64}$

$\dfrac{31}{64}$

$\dfrac{35}{64}$

$\dfrac{32}{64}$

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

Let $a$ be an integer selected at random from the set $\{0, 1, 2, 3, \ldots, 9\}$. The probability that the equation $ax^2 - ax + 1 = 0$ has real roots is ...

$\dfrac{3}{5}$

$\dfrac{1}{2}$

$\dfrac{2}{5}$

$\dfrac{5}{9}$

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

If in $6$ trials, X is a binomial random variable which follows the relation $9P(x = 4) = P(x = 2)$, then the probability of failure is...

$0.125$

$0.25$

$0.375$

$0.75$

MHT CET 2026 19th April Morning Shift

MCQ (Single Correct Answer)

-0

Given the probability density function (p.d.f.) of the random variable X, $f(x) = \dfrac{1}{2a}$, $0 < x < 2a$, $a > 0$
$= 0$, otherwise, then which of the following is correct ?

$P\left(X < \dfrac{a}{2}\right) = P\left(X > \dfrac{a}{2}\right)$

$P\left(X < \dfrac{a}{2}\right) < P\left(X > \dfrac{3a}{2}\right)$

$P\left(X < \dfrac{a}{2}\right) > P\left(X > \dfrac{3a}{2}\right)$

$P\left(X < \dfrac{a}{2}\right) = P\left(X > \dfrac{3a}{2}\right)$

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