1
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
$$\frac{2}{7}$$
2
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
$$\frac{19}{2048}$$
3
MHT CET 2021 21th September Morning Shift
+2
-0

In a meeting $$60 \%$$ of the members favour and $$40 \%$$ oppose a certain proposal. A member is selected at random and we take $$\mathrm{X}=0$$ if he opposed and $$\mathrm{X}=1$$ if he is in favour, then $$\operatorname{Var} \mathrm{X}=$$

A
0.36
B
0.24
C
0.6
D
0.06
4
MHT CET 2021 21th September Morning Shift
+2
-0

A lot of 100 bulbs contains 10 defective bulbs. Five bulbs selected at random from the lot and sent to retain store, then the probability that the store will receive at most one defective bulb is

A
0.59049
B
0.91854
C
0.6561
D
0.32805
EXAM MAP
Medical
NEET