Question

A fair die is tossed repeatidly. Mr. A wins if it is $1$ or $2$ and Mr. B wind if it is $3,4,5$ or $6$ . The probability that A wins if the die is tossed indefinitely, is

• A. $\frac{1}{3}$
• B. $\frac{5}{21}$
• C. $\frac{1}{4}$
• D. $\frac{2}{5}$

Answer 1

The correct option is A $\frac{1}{3}$

No .of favourable cases for $A$ $=2$

No .of possible outcomes $=6$

The probability of $A$ winning is $\frac{2}{6}=\frac{1}{3}$