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.

outcome tally
yellow 15
green 11

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

Percent error can be calculated as:

Percent Error = (Theoretical Value - Experimental Value) ÷ Theoretical Value × 100%

Theoretical Value = (6 yellow marbles / 12 total marbles) * 100% = 50%
Experimental Value = (15 yellow marbles / 26 total picks) * 100% = 57.7%

Percent Error = (50% - 57.7%) ÷ 50% × 100% = -7.7 ÷ 50 × 100% = 15.4%

Therefore, the percent error of pulling a yellow marble in Felix’s experiment is 15.4%. The answer is b) 15.4%.