We first need to determine the theoretical probability of pulling a yellow marble. There are 6 yellow marbles and a total of 12 marbles, so the theoretical probability is 6/12 = 1/2 = 50%.
According to the table, Felix pulled a yellow marble 16 times out of the 26 times he pulled a marble. To find the experimental probability, we divide the number of times he pulled a yellow marble by the total number of pulls: 16/26 ≈ 61.5%.
To find the percent error, we calculate the difference between the experimental and theoretical probabilities, then divide by the theoretical probability:
(61.5% - 50%) / 50% ≈ 0.231, or 23.1%.
Thus, the percent error of pulling a yellow marble in Felix’s experiment is about 23.1%. The closest answer choice is c) 23.1%.
Felix has a bag of 6 yellow marbles and 6 green marbles. He picks a marble and then puts it back 26 times. The results are shown in the table.
What is the percent error of pulling a yellow marble in Felix’s experiment?
a) 13.3%
b) 15.4%
c) 23.1%
d) 42.3%
1 answer