Question

Numbers from 1 to 50 are written on slips of paper and put in a box. A slip is to be drawn from it; but before doing so, one must make a guess about the number, either prime number or a multiple of five. Which is the better guess? Why?

Answer 1

Probablity of getting prime numbers from 1 to 50 = \(\frac{15}{50}=\frac{3}{10}\)

Probability of getting a multiple of 5 from 1 to 50 = \(\frac{10}{50}=\frac{1}{5}\)

∴ Better guess would be prime numbers as probability of that is more.