1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

Let $$A=\{x, y, z, u\}$$ and $$B=\{a, b\}$$. A function $$f: A \rightarrow B$$ is selected randomly. The probability that the function is an onto function is

A
$$\frac{1}{8}$$
B
$$\frac{5}{8}$$
C
$$\frac{1}{35}$$
D
$$\frac{7}{8}$$
2
KCET 2023
MCQ (Single Correct Answer)
+1
-0

If $$A$$ and $$B$$ are events, such that $$P(A)=\frac{1}{4}, P(A / B)=\frac{1}{2}$$ and $$P(B / A)=\frac{2}{3}$$, then $$P(B)$$ is

A
$$\frac{1}{3}$$
B
$$\frac{2}{3}$$
C
$$\frac{1}{2}$$
D
$$\frac{1}{6}$$
3
KCET 2022
MCQ (Single Correct Answer)
+1
-0

Find the mean number of heads in three tosses of a fair coin.

A
1.5
B
4.5
C
2.5
D
3.5
4
KCET 2022
MCQ (Single Correct Answer)
+1
-0

If $$A$$ and $$B$$ are two events such that $$P(A)=\frac{1}{2}, P(B)=\frac{1}{2}$$ and $$P(A \mid B)=\frac{1}{4}$$, then $$P\left(A^{\prime} \cap B^{\prime}\right)$$ is

A
$$\frac{1}{4}$$
B
$$\frac{3}{16}$$
C
$$\frac{1}{12}$$
D
$$\frac{3}{4}$$
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