Question

Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. How does the theoretical probability compare with the experimental probability of landing on an even number? Use the drop-down menus to explain your answer. The_______ probability is greater than the_____ probability of landing on an even number. The_______ probability is 72/120 and the_______ probability is 80/120.

Answer 1

The theoretical probability is greater than the experimental probability of landing on an even number. The experimental probability is 72/120 and the theoretical probability is 80/120.

Explanation:

Experimental probability of landing on an even number: (30+25+17)/120 = 72/120 = 0.6

Even outcomes: 4

Total outcomes: 6

Theoretical probability of landing on an even number: 4/6 = 0.67

After 120 spinners it is expected 4/6*120 = 80 even results