1
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

A five-digits number is formed by using the digits $$1,2,3,4,5$$ with no repetition. The probability that the numbers 1 and 5 are always together, is

A
$$\frac{2}{5}$$
B
$$\frac{1}{5}$$
C
$$\frac{3}{5}$$
D
$$\frac{1}{4}$$
2
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If a number $n$ is chosen at random from the set $$\{11,12,13, \ldots \ldots, 30\}$$. Then, the probability that $$n$$ is neither divisible by 3 nor divisible by 5, is

A
$$\frac{7}{20}$$
B
$$\frac{9}{20}$$
C
$$\frac{11}{20}$$
D
$$\frac{13}{20}$$
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Three vertices are chosen randomly from the nine vertices of a regular 9-sided polygon. The probability that they form the vertices of an isosceles triangle, is

A
$$\frac{4}{7}$$
B
$$\frac{3}{7}$$
C
$$\frac{2}{7}$$
D
$$\frac{5}{7}$$
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$A, B$$ and $$C$$ are mutually exclusive and exhaustive events of a random experiment such that $$P(B)=\frac{3}{2} P(A)$$ and $$P(C)=\frac{1}{2} P(B)$$, then $$P(A \cup C)$$ equals to

A
$$\frac{10}{13}$$
B
$$\frac{3}{13}$$
C
$$\frac{6}{13}$$
D
$$\frac{7}{13}$$
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