Question

Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:

Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26




What is the experimental probability that Jenny will pull out a pink tile?
fraction 32 over 50
fraction 18 over 50
fraction 18 over 32
fraction 26 over 32

Answer 1

The experimental probability of a certain event is the proability for that event to happen, "suggested" by some empiric experiments, instead of pure theory.

For example, we know that a fair coin has a 50% chance of landing on heads or tails. But if you throw a coin 100 times, with 60 heads and 40 tails, you would say that the probability for heads to show is 60%.

In your exercise, Jenny tried the experiment 50 times, and got a pink tile 18 times. So, according to her results, the probability of pulling a pink tile is

`\frac{\text{number of times a pink tile was pulled}}{\text{total number of experiments}} = (18)/(50)`