1
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Rooms in a hotel are numbered from 1 to 19. Rooms are allocated at random as guests arrive. The first guest to arrive is given a room which is a prime number. The probability that the second guest to arrive is given a room which is a prime number is

A
$$\frac{8}{19} \times \frac{7}{18}$$
B
$$\frac{8}{19}$$
C
$$\frac{8}{19} \times \frac{7}{19}$$
D
$$\frac{7}{18}$$
2
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The distribution function $$F(X)$$ of discrete random variable $$X$$ is given by

$$\mathrm{X}$$ 1 2 3 4 5 6
$$\mathrm{F (X=x)}$$ 0.2 0.37 0.48 0.62 0.85 1

Then $$\mathrm{P[X=4]+P[x=5]=}$$

A
0.14
B
0.85
C
0.37
D
0.23
3
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

First bag contains 3 red and 5 black balls and second bag contains 6 red and 4 black balls. A ball is drawn from each bag. The probability that one ball is red and the other is black, is

A
$$\frac{41}{80}$$
B
$$\frac{21}{40}$$
C
$$\frac{3}{20}$$
D
$$\frac{3}{8}$$
4
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

A fair coin is tossed 4 times. If $$X$$ is a random variable which indicates number of heads, then $$\mathrm{P}[\mathrm{X}<3]=$$

A
$$\frac{10}{16}$$
B
$$\frac{1}{16}$$
C
$$\frac{12}{16}$$
D
$$\frac{11}{16}$$
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