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1
MHT CET 2026 17th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
On average, one out of 10 persons is busy. If six persons are selected at random, then the probability that at least 5 of them will be busy is...
A
$\dfrac{25}{(10)^6}$
B
$\dfrac{35}{(10)^6}$
C
$\dfrac{45}{(10)^6}$
D
$\dfrac{55}{(10)^6}$
2
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
$\dfrac{6}{61}$
3
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
$\dfrac{7}{812}$
4
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
$3P(X = 0) = 4P(X = 1)$
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