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

If $$\mathrm{P}(\mathrm{A})=\frac{3}{10}, \mathrm{P}(\mathrm{B})=\frac{2}{5}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{3}{5}$$, then $$\mathrm{P}(\mathrm{A} / \mathrm{B}) \times \mathrm{P}(\mathrm{B} / \mathrm{A})=$$

A
$$\frac{1}{3}$$
B
$$\frac{1}{12}$$
C
$$\frac{1}{10}$$
D
$$\frac{1}{4}$$
2
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
$$\frac{4}{7}$$
3
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
$$\frac{23}{81}$$
4
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
$$\frac{5}{6}$$
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