1
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

Three bags contain a number of red and white balls are as follows.

Bag I: 3 red balls

Bag II: 2 red balls and 1 white ball

Bag III: 3 White balls

The probability that bag $i$ will be chosen and a ball is selected from it is $\frac{i}{6}, i=1,2,3$. If a white ball is selected, what is the probablity that it came from Bag III

A
$\frac{9}{11}$
B
$\frac{2}{11}$
C
$0$
D
$\frac{1}{11}$
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Three fair dice are thrown. What is the probability of getting a total of 15 given that they exhibit three different numbers that are in arithmetic progression?
A
$\frac{1}{8}$
B
$\frac{1}{6}$
C
$\frac{1}{4}$
D
$\frac{1}{2}$
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
A person writes four letters and address four envelopes. If the letters are placed in the envelopes at random, then the probability that not all letters are placed in the right envelope is
A
$\frac{15}{24}$
B
$\frac{11}{24}$
C
$\frac{23}{24}$
D
$\frac{1}{24}$
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Let $A$ and $B$ be two events such that one of the two events must occur. Given that the chance of occurrence of $A$ is $\frac{2}{3}$ the chance of occurrence of $B$, then odds in favour of $B$ is
A
$3: 5$
B
$2: 5$
C
$3: 2$
D
$2: 3$
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