1
KCET 2026
MCQ (Single Correct Answer)
+1
-0
Probability of occurrence of an event A is $\dfrac{1}{2}$ and that of B is $\dfrac{3}{10}$. If A and B are mutually exclusive, then the probability of occurrence of neither A nor B is
A
$\dfrac{4}{5}$
B
$\dfrac{3}{5}$
C
$\dfrac{2}{5}$
D
$\dfrac{1}{5}$
2
KCET 2026
MCQ (Single Correct Answer)
+1
-0
Probability of at least one of the events A and B occur is $0.6$. If A and B occur simultaneously with probability $0.2$, then $P(\bar{A}) + P(\bar{B})$ is
A
$1$
B
$0.8$
C
$0.6$
D
$1.2$
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0

A random experiment has five outcomes $\mathrm{w}_1, \mathrm{w}_2, \mathrm{w}_3, \mathrm{w}_4$ and $\mathrm{w}_5$. The probabilities of the occurrence of the outcomes $w_1, w_2, w_3, w_4$ and $w_5$ are respectively $\frac{1}{6}, a, b$ and $\frac{1}{12}$ such that $12 a+12 b-1=0$. Then the probabilities of occurrence of the outcome $w_3$ is

A
$\frac{2}{3}$
B
$\frac{1}{3}$
C
$\frac{1}{6}$
D
$\frac{1}{12}$
4
KCET 2025
MCQ (Single Correct Answer)
+1
-0

A die has two face each with number ' 1 ', three faces each with number ' 2 ' and one face with number ' 3 '. If the die is rolled once, then $\mathrm{P}(1$ or 3$)$ is

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

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