Martha spun the spinner above 80 times and landed on yellow 17 times. How close was her experimental probability of landing on yellow to the theoretical probability of landing on yellow?
Responses
A 33
B 63
C 17
D 13
B 63
To find the difference between the experimental and theoretical probabilities, you would first need to calculate the theoretical probability of landing on yellow. The theoretical probability of landing on yellow is the number of favorable outcomes (landing on yellow) divided by the total number of possible outcomes.
The spinner has 4 equal sections, one of which is yellow. Therefore, the theoretical probability of landing on yellow is 1/4.
Next, you would calculate the difference between the experimental probability (17/80) and the theoretical probability (1/4).
17/80 - 1/4 = 17/80 - 20/80 = -3/80
Since we are only interested in the absolute difference, you would take the absolute value of -3, which is 3. Therefore, the closest answer choice is B, 63.