Henry has a large jar full of gumballs. After an experiment, he calculates the experimental probabilities of drawing a particular color gumball to be as follows:
Which of the following is the best prediction of the actual contents of the jar if the jar contains 525 gumballs?
A.
orange = 336
purple = 105
yellow = 84
B.
orange = 336
purple = 105
yellow = 336
C.
orange = 315
purple = 189
yellow = 105
D.
orange = 420
purple = 84
yellow = 105
To make the best prediction of the actual contents of the jar, we need to use the experimental probabilities to estimate the number of each color of gumball in a jar of 525 gumballs.
Based on the experimental probabilities provided, we can use the total number of gumballs (525) to estimate the number of each color as follows:
- Orange gumballs: 525 x 0.64 = 336
- Purple gumballs: 525 x 0.2 = 105
- Yellow gumballs: 525 x 0.16 = 84
Therefore, the best prediction of the actual contents of the jar would be option A:
orange = 336
purple = 105
yellow = 84