Search any question & find its solution
Question:
Answered & Verified by Expert
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
Options:
Solution:
1396 Upvotes
Verified Answer
The correct answer is:
$\frac{7}{8}$
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 $=1-\frac{2}{16}=\frac{14}{16}=\frac{7}{8}$
We know that
Probability of onto $=1-($ Probability of not onto)
Probability $=\frac{\text { Number of favorable event }}{\text { Total event }}$
Probability of onto $=1-\frac{2}{16}=\frac{14}{16}=\frac{7}{8}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.