1
MHT CET 2021 24th September Evening Shift
+2
-0

The probability that at least one of the events $$E_1$$ and $$E_2$$ occurs is 0.6. If the simultaneous occurrence of $$\mathrm{E}_1$$ and $$\mathrm{E}_2$$ is $$0.2, \mathrm{P}\left(\mathrm{E}_1^{\prime}\right)+\mathrm{P}\left(\mathrm{E}_2^{\prime}\right)=$$

A
0.4
B
1.6
C
1.2
D
0.8
2
MHT CET 2021 24th September Evening Shift
+2
-0

Two dice are thrown simultaneously. If X denotes the number of sixes, then the expectation of X is

A
3
B
2
C
$$\frac{1}{3}$$
D
$$\frac{2}{3}$$
3
MHT CET 2021 24th September Evening Shift
+2
-0

The probability distribution of a random variable X is

$$\mathrm{X=x}$$ 1 2 3 ......... $$\mathrm{n}$$
$$\mathrm{P(X=x)}$$ $$\mathrm{\frac{1}{n}}$$ $$\mathrm{\frac{1}{n}}$$ $$\mathrm{\frac{1}{n}}$$ ......... $$\mathrm{\frac{1}{n}}$$

then Var(X) =

A
$$\frac{\mathrm{n}^2-1}{12}$$
B
$$\frac{n^2-n}{6}$$
C
$$\frac{n^2-n}{12}$$
D
$$\frac{\mathrm{n}^2-1}{6}$$
4
MHT CET 2021 24th September Evening Shift
+2
-0

A fair coin is tossed for a fixed number of times. If probability of getting 7 heads is equal to probability of getting 9 heads, then probability of getting 2 heads is

A
$$\frac{1}{15}$$
B
$$\frac{15}{2^{13}}$$
C
$$\frac{15}{2^8}$$
D
$$\frac{2}{15}$$
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