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

P and Q are considering to apply for a job. The probability that P applies for the job is $$\frac{1}{4}$$. The probability that $$\mathrm{P}$$ applies for the job given that $$\mathrm{Q}$$ applies for the job is $$\frac{1}{2}$$, and the probability that Q applies for the job given that P applies for the job is $$\frac{1}{3}$$. Then the probability that $$\mathrm{P}$$ does not apply for the job given that $$\mathrm{Q}$$ does not apply for the job is

A
$$\frac{4}{5}$$
B
$$\frac{7}{8}$$
C
$$\frac{5}{6}$$
D
$$\frac{11}{12}$$
2
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

There are some baskets. The chances of picking a loaded basket and choosing a red coloured one is 0.2 . For every 100 tries to pick one basket, 60 times a basket is either loaded or red in colour. What is the probability of choosing an empty basket plus choosing not a red coloured one.

A
1.2
B
0.4
C
1.3
D
0.8
3
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

The probability of inviting three friends on 5 consecutive days, exactly one friend a day and no friend is invited on more than two days is

A
$$\frac{10}{81}$$
B
$$\frac{5}{27}$$
C
$$\frac{20}{81}$$
D
$$\frac{10}{27}$$
4
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
$$ \frac{1}{2} \text { and } \frac{1}{4} $$
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