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1
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If two fair dice are rolled, then the probability that the sum of the numbers on the upper faces is at least 9, is

A
$\frac{1}{3}$
B
$\frac{4}{11}$
C
$\frac{5}{18}$
D
$\frac{5}{36}$
2
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

For the probability distribution

$x :$ 0 1 2 3 4 5
$p(x):$ $\mathrm{k}$ 0.3 0.15 0.15 0.1 2$\mathrm{k}$

The expected value of X is

A
1.45
B
2.45
C
1.55
D
2.55
3
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A random variable X has the following probability distribution

$X$ 1 2 3 4 5
$p(x)$ $\mathrm{k^2}$ $\mathrm{2k}$ $\mathrm{k}$ $\mathrm{2k}$ $\mathrm{5k^2}$

Then $\mathrm{p}(x \geq 2)$ is equal to

A
$\frac{35}{36}$
B
$\frac{34}{36}$
C
$\frac{33}{36}$
D
$\frac{31}{36}$
4
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The probability, that a year selected at random will have 53 Mondays, is

A
$\frac{1}{4}$
B
$\frac{3}{28}$
C
$\frac{5}{28}$
D
$\frac{3}{4}$
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