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

The probability distribution of a discrete random variable X is

$$\mathrm{X}$$ 1 2 3 4 5 6
$$\mathrm{P(X)}$$ K 2K 3K 4K 5K 6K

Find the value of $$\mathrm{P}(2<\mathrm{X}<6)$$

A
$$\frac{4}{21}$$
B
$$\frac{1}{21}$$
C
$$\frac{10}{21}$$
D
$$\frac{4}{7}$$
2
MHT CET 2021 24th September Morning Shift
+2
-0

A die is thrown four times. The probability of getting perfect square in at least one throw is

A
$$\frac{58}{61}$$
B
$$\frac{16}{81}$$
C
$$\frac{65}{81}$$
D
$$\frac{23}{81}$$
3
MHT CET 2021 23rd September Evening Shift
+2
-0

A man is known to speck truth 3 out of 4 times. He throws a die and reports that it is 6. Then the probability that it is actually 6 is

A
$$\frac{3}{4}$$
B
$$\frac{1}{4}$$
C
$$\frac{3}{8}$$
D
$$\frac{5}{6}$$
4
MHT CET 2021 23rd September Evening Shift
+2
-0

The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is

A
5
B
$$\frac{8}{3}$$
C
1
D
2
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