Answer:
4 elements of the sample space will have a purple ball
There are 10 elements altogether
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
Number of purple balls = 12, number of green balls = 13, total number of balls = 12+13 = 25
Probability (a ball drawn is purple) = 12/25
If a purple ball is drawn, two coins are tossed
1 coin has 2 elements
2 coins have 2×2 = 4 elements
Probability (a ball drawn is not purple) = 1 - 12/25 = (25-12)/25 = 13/25
If a ball drawn is not purple, three coins are tossed
1 coin has 2 elements
3 coins have 3×2 = 6 elements
Total elements = 4 + 6= 10 elements