Mary Jane spins the spinner 15 times. The arrow lands 6 times on a star and 9 times on the heart. Which THREE statements are correct when comparing the experimental and theoretical probabilities?
Responses
A The experimental probability for landing on the star is greater than the theoretical probability.The experimental probability for landing on the star is greater than the theoretical probability.
B As the number of spins increases, the closer the experimental probability will get to the theoretical probability.As the number of spins increases, the closer the experimental probability will get to the theoretical probability.
C The theoretical probability for landing on the star is greater than the experimental probability.The theoretical probability for landing on the star is greater than the experimental probability.
D The experimental probability for landing on the heart is less than the theoretical probability.The experimental probability for landing on the heart is less than the theoretical probability.
E The experimental probability for landing on the heart is greater than the theoretical probability.The experimental probability for landing on the heart is greater than the theoretical probability.
B, D, and E are the correct statements.
B is true because as the number of spins increases, the experimental probability approaches the theoretical probability.
D is true because the experimental probability for landing on the heart (9/15) is less than the theoretical probability (1/2).
E is true because the experimental probability for landing on the heart (9/15) is greater than the theoretical probability (1/2).
A and C are incorrect because the experimental probability for landing on the star (6/15) is equal to the theoretical probability (1/4). Theoretical probability cannot be greater than experimental probability.