1
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

For two events $$\mathrm{A}$$ and $$\mathrm{B}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{5}{6}, \mathrm{P}(\mathrm{A})=\frac{1}{6}, \mathrm{P}(\mathrm{B})=\frac{2}{3}$$, then $$\mathrm{A}$$ and $$\mathrm{B}$$ are

A
independent
B
mutually exhaustive
C
mutually exclusive
D
complementary
2
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A random variable X has following distribution

$$\mathrm{X = x}$$ 1 2 3 4 5 6
$$\mathrm{P(X = x)}$$ k 3k 5k 7k 8k k

Then P (2 $$\le$$ x < 5) =

A
$$\frac{7}{25}$$
B
$$\frac{3}{5}$$
C
$$\frac{24}{25}$$
D
$$\frac{23}{25}$$
3
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A coin is tossed three times. If X denotes the absolute difference between the number of heads and the number of tails, then P (X = 1) =

A
$$\frac{1}{6}$$
B
$$\frac{1}{2}$$
C
$$\frac{2}{3}$$
D
$$\frac{3}{4}$$
4
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A random variable X $$\sim$$ B (n, p), if values of mean and variance of X are 18 and 12 respectively, then n =

A
54
B
18
C
12
D
55
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