Q69 / 180 · KCET 2023 · Mathematics

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
    $\frac{1}{35}$
  • Correct answer
    D
    $\frac{7}{8}$

Solution

Total cases $=2 \times 2 \times 2 \times 2=16$ We know that Probability of onto $=1-($ Probability of not onto) Probability $=\frac{\text { Number of favorable event }}{\text { Total event }}$ Probability of onto $=1-\frac{2}{16}=\frac{14}{16}=\frac{7}{8}$

Hence, the correct answer is option: 'D'.

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