Question

A fair die is thrown until a score of less than $5$ points obtained. The probability of obtaining not less than $2$ points on the last thrown is

• A. $\frac{3}{4}$
• B. $\frac{5}{6}$
• C. $\frac{4}{5}$
• D. $\frac{1}{2}$

Answer 1

The correct option is A $\frac{3}{4}$

Score less than $5$ means the occurence of $1,2,3$ or $4.$

Now on the last throw we should not obtain a score less than $2$ i.e. one.

Clearly the favorable outcomes are $2,3,$ or $4.$

Thus the required probability $=\frac{3}{4}$