12th Class
Mathematics
Sample Paper
Maths Olympiad Model Test Paper-12
question_answer
Let F denotes the set of all onto functions from \[A=\{{{a}_{1}},\,\,{{a}_{2}},\,\,{{a}_{3}},\,\,{{a}_{4}}\}\] to \[B=\{x,\,\,y,\,\,z\}\]. A function f is chosen at random from F. The probability that \[{{f}^{-1}}(x)\] consists of exactly two elements is _____.