1
MHT CET 2021 22th September Morning Shift
+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
$$\frac{3}{4}$$
2
MHT CET 2021 22th September Morning Shift
+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
3
MHT CET 2021 21th September Evening Shift
+2
-0

an urn contains 9 balls of which 3 are red, 4 are blue and 2 are green. Three balls are drawn at random from the urn. The probability that the three balls have difference colours is

A
$$\frac{1}{14}$$
B
$$\frac{3}{14}$$
C
$$\frac{1}{7}$$
D
$$\frac{2}{7}$$
4
MHT CET 2021 21th September Evening Shift
+2
-0

It is observed that $$25 \%$$ of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that at least 5 of them will be solved is

A
$$\frac{19}{1024}$$
B
$$\frac{19}{4096}$$
C
$$\left(\frac{1}{4}\right)^6$$
D
$$\frac{19}{2048}$$
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