1
COMEDK 2024 Evening Shift
+1
-0

What is the probability of a randomly chosen 2 digit number being divisible by 3 ?

A
$$\frac{2}{9}$$
B
$$\frac{2}{3}$$
C
$$\frac{1}{3}$$
D
$$\frac{1}{9}$$
2
COMEDK 2024 Morning Shift
+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
$$\frac{1}{8}$$
3
COMEDK 2024 Morning Shift
+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
$$\frac{1}{2}$$
4
COMEDK 2024 Morning Shift
+1
-0

If the events A and B are mutually exclusive events such that $$P(A)=\frac{1}{3}(3 x+1)$$ and $$P(B)=\frac{1}{4}(1-x)$$ then the possible values of $x$ lies in the interval

A
$$\left[\frac{1}{3}, \frac{2}{9}\right]$$
B
$$\left[-\frac{1}{3}, \frac{5}{9}\right]$$
C
$$[0,1]$$
D
$$\left[-\frac{7}{9}, \frac{4}{9}\right]$$
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