MHT CET 2026 18th April Morning Shift | Probability Question 19 | Mathematics

If the probabilities of a student succeeding in the entrance tests for institutes A, B and C are $0.6$, $0.5$ and $0.4$ respectively, while the probability of succeeding in both A and B is $0.3$, in both B and C is $0.2$, in both A and C is $0.2$, and in all three is $0.1$, then the probability that the student succeeds in exactly one of these tests is......

$0.3$

$0.4$

$0.5$

$0.6$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-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...

$\dfrac{25}{(10)^6}$

$\dfrac{35}{(10)^6}$

$\dfrac{45}{(10)^6}$

$\dfrac{55}{(10)^6}$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-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 $P(X = 4) = \ldots$

$\dfrac{15}{61}$

$\dfrac{30}{61}$

$\dfrac{10}{61}$

$\dfrac{6}{61}$

MHT CET 2026 17th April Evening Shift

MCQ (Single Correct Answer)

-0

Three numbers are chosen from 1 to 30. The probability that minimum is 10 and maximum is 26 is _______

$\dfrac{1}{406}$

$\dfrac{3}{812}$

$\dfrac{5}{812}$

$\dfrac{7}{812}$

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