Two persons A and B play a game by throwing two dice. If the sum of the numbers appeared on the two dice is even, A will get $\frac{1}{2}$ point and B will get $\frac{1}{2}$ point. If the sum is odd, A will get one point and B will get no point. The arithmetic mean of the random variable of the number of points of A is

• A

  $\frac{1}{2}$
• B

  $\frac{1}{4}$
• C

  $1$
• Correct answer
  D

  $\frac{3}{4}$

Hence, the correct answer is option: 'D'.