MHT CET 2021 24th September Evening Shift | Probability Question 47 | Mathematics

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 $$0.2, \mathrm{P}\left(\mathrm{E}_1^{\prime}\right)+\mathrm{P}\left(\mathrm{E}_2^{\prime}\right)=$$

0.4

1.6

1.2

0.8

MHT CET 2021 24th September Evening Shift

MCQ (Single Correct Answer)

-0

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

$$\frac{1}{3}$$

$$\frac{2}{3}$$

MHT CET 2021 24th September Evening Shift

MCQ (Single Correct Answer)

-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) =

$$ \frac{\mathrm{n}^2-1}{12} $$

$$\frac{n^2-n}{6}$$

$$\frac{n^2-n}{12}$$

$$\frac{\mathrm{n}^2-1}{6}$$

MHT CET 2021 24th September Evening Shift

MCQ (Single Correct Answer)

-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

$$\frac{1}{15}$$

$$\frac{15}{2^{13}}$$

$$\frac{15}{2^8}$$

$$\frac{2}{15}$$

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