Given:
It is given that
Probability of winning $ 0 = [tex]\frac{3}{10}[/tex]
Probability of winning $ 100 = [tex]\frac{1}{5}[/tex]
Probability of winning $ 200 = [tex]\frac{1}{10}[/tex]
Probability of winning $ 500 = [tex]\frac{2}{5}[/tex]
To find the probability of not winning a cash prize.
Explanation:
Not winning cash prize = winning $ 0
So,
Probability of not winning a cash prize
= Probability of winning $ 0
= [tex]\frac{3}{10}[/tex]
Therefore,
The probability of not winning a cash prize is [tex]\frac{3}{10}[/tex]. Option D.