1
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If a discrete random variable $X$ takes the values $1, 2, 3, 4$ such that $2P(X = 1) = 3P(X = 2) = P(X = 3) = 5P(X = 4)$, then $P(X = 4) = \ldots$
A
$\dfrac{15}{61}$
B
$\dfrac{30}{61}$
C
$\dfrac{10}{61}$
D
$\dfrac{6}{61}$
2
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
Three numbers are chosen from 1 to 30. The probability that minimum is 10 and maximum is 26 is _______
A
$\dfrac{1}{406}$
B
$\dfrac{3}{812}$
C
$\dfrac{5}{812}$
D
$\dfrac{7}{812}$
3
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If the mean and the variance of a binomial variate X are 1 and 0.75 respectively, then which of the following is true?
A
$P(X = 0) = 3P(X = 4)$
B
$P(X = 1) = 2P(X = 2)$
C
$P(X = 3) = 3P(X = 4)$
D
$3P(X = 0) = 4P(X = 1)$
4
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A box contains 8 red and N green balls. Two balls are drawn at random from it. If X is the random variable representing the number of green balls drawn and $E(X) = 1.2$, then $N = \ldots$
A
$4$
B
$8$
C
$12$
D
$16$

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