1
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

A and B are two independent events. The probability of their simultaneous occurrence is $$\frac{1}{8}$$ and the probability that neither of them occurs is $$\frac{3}{8}$$. Then their individual probabilities are

A
$$ \frac{3}{8} \text { and } \frac{1}{8} $$
B
$$ \frac{5}{8} \text { and } \frac{1}{4} $$
C
$$ \frac{3}{4} \text { and } \frac{1}{2} $$
D
$$ \frac{1}{2} \text { and } \frac{1}{4} $$
2
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

A determinant of the second order is made with elements 0 and 1 . What is the probability that the determinant made is non-negative?

A
$$\frac{11}{16}$$
B
$$\frac{7}{16}$$
C
$$\frac{3}{16}$$
D
$$\frac{13}{16}$$
3
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

A and B each have a calculator which can generate a single digit random number from the set $$\{1,2,3,4,5,6,7,8\}$$. They can generate a random number on their calculator. Given that the sum of the two numbers is 12 , then the probability that the two numbers are equal is

A
$$\frac{5}{64}$$
B
$$\frac{1}{5}$$
C
$$\frac{1}{16}$$
D
$$\frac{1}{8}$$
4
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The probability that a randomly chosen number from one to twelve is a divisor of twelve is

A
$$\frac{5}{12}$$
B
$$\frac{1}{3}$$
C
$$\frac{5}{6}$$
D
$$\frac{1}{2}$$
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