Thirty tickets are numbered from 1 to 30, one number on each ticket. The tickets are mixed and one ticket is drawn at random. What is the probability that the number on the ticket is a perfect square?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{1}{6}\)
A perfect square is a number equal to some whole number multiplied by itself. Each of the 30 tickets is equally likely to be drawn.
Perfect squares from 1 to 30: \(1\times1=1\), \(2\times2=4\), \(3\times3=9\), \(4\times4=16\), \(5\times5=25\) (the next one, 36, is above 30)
Favourable tickets \(=5\)
Probability \(\displaystyle =\frac{5}{30}=\frac{1}{6}\)