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1
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0
 

Suppose three coins are tossed simultaneously. If $X$ denotes the number of heads, then probability distribution of x is

A
$X=x$ 0 1 2 3
$P(X=x)$ $\frac{2}{8}$ $\frac{2}{8}$ $\frac{3}{8}$ $\frac{1}{8}$
B
$X=x$ 0 1 2 3
$P(X=x)$ $\frac{1}{8}$ $\frac{3}{8}$ $\frac{3}{8}$ $\frac{1}{8}$
C
$X=x$ 0 1 2
$P(X=x)$ $\frac{3}{8}$ $\frac{3}{8}$ $\frac{2}{8}$
D
$X=x$ 0 1 2 3
$P(X=x)$ $\frac{1}{8}$ $\frac{1}{8}$ $\frac{3}{8}$ $\frac{3}{8}$
2
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five is

A
11
B
12
C
9
D
10
3
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If two fair dice are rolled, then the probability that the sum of the numbers on the upper faces is at least 9, is

A
$\frac{1}{3}$
B
$\frac{4}{11}$
C
$\frac{5}{18}$
D
$\frac{5}{36}$
4
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

For the probability distribution

$x :$ 0 1 2 3 4 5
$p(x):$ $\mathrm{k}$ 0.3 0.15 0.15 0.1 2$\mathrm{k}$

The expected value of X is

A
1.45
B
2.45
C
1.55
D
2.55
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