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

Let two cards are drawn at random from a pack of 52 playing cards. Let X be the number of aces obtained. Then the value of E(X) is

A
$$\frac{5}{13}$$
B
$$\frac{1}{13}$$
C
$$\frac{2}{13}$$
D
$$\frac{37}{221}$$
3
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

A fair coin is tossed 100 times. The probability of getting a head for even number of times is

A
$$\frac{1}{2}$$
B
$$\frac{3}{8}$$
C
$$\frac{1}{8}$$
D
$$\frac{3}{4}$$
4
MHT CET 2021 23rd September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the function defined by $$f(x)=K(x-x^2)$$ if $$0 < x < 1=0$$, otherwise is the p.d.f. of a r.v.X, then the value of $$P\left(X<\frac{1}{2}\right)$$ is

A
$$ \frac{1}{2} $$
B
$$ \frac{1}{3} $$
C
$$ \frac{1}{4} $$
D
$$ \frac{2}{3} $$
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