Question

Raffle tickets numbered consecutively from $101$ through $350$ are placed in a box. What is the probability that a ticket selected at random will have a number with a hundred digit of $2$?

• A. $\frac{2}{5}$
• B. $\frac{2}{7}$
• C. $\frac{33}{83}$
• D. $\frac{99}{250}$
• E. $\frac{100}{249}$

Answer 1

The correct option is A $\frac{2}{5}$

The number of integers from $101to350$, inclusive is $250,$ out of which $100$ (from $200to299)$ will have a hundreds digit of $2.$ Thus the probability is $P\left(E\right)=\frac{100}{250}=\frac{2}{5}.$