Given:
It is given that
Probability of winning $ 0 =

Probability of winning $ 100 =

Probability of winning $ 200 =

Probability of winning $ 500 =

To find the probability of not winning a cash prize.
Step-by-step explanation:
Not winning cash prize = winning $ 0
So,
Probability of not winning a cash prize
= Probability of winning $ 0
=

Therefore,
The probability of not winning a cash prize is
. Option D.