1
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral equals

A
$$\frac{1}{2}$$
B
$$\frac{1}{5}$$
C
$$\frac{1}{10}$$
D
$$\frac{1}{20}$$
2
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

Five persons A, B, C, D and E are in queue of a shop. The probability that A and E are always together, is

A
$$\frac{1}{4}$$
B
$$\frac{2}{3}$$
C
$$\frac{2}{5}$$
D
$$\frac{3}{5}$$
3
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

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

A
$${{10} \over {13}}$$
B
$${3 \over {13}}$$
C
$${6 \over {13}}$$
D
$${7 \over {13}}$$
4
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows the correct answer is $$p,0 < p < 1$$. If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is

A
$$\frac{3p}{4p+3}$$
B
$$\frac{5p}{3p+2}$$
C
$$\frac{5p}{4p+1}$$
D
$$\frac{4p}{3p+1}$$
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