The experimental probability of choosing a yellow tile (1/5) matches the theoretical probability (1/5), making them equal in this scenario. The correct choice is (a).
Let's break down the step-by-step explanation:
1. Experimental Probability:
- Kaison conducted 50 trials.
- The observed frequency of choosing a yellow tile is 10.
- Experimental Probability of choosing a yellow tile = Observed Frequency / Total Trials = 10 / 50 = 1/5.
2. Theoretical Probability:
- Theoretical Probability assumes all outcomes are equally likely.
- There is 1 yellow tile out of a total of 5 different tiles.
- Theoretical Probability of choosing a yellow tile = Favorable Outcomes / Total Possible Outcomes = 1 / 5.
3. Comparison:
- Experimental Probability (1/5) matches Theoretical Probability (1/5).
Therefore, the correct answer is:
a. The experimental probability is the same as the theoretical probability.
Que. A bag contains 1 red tile, 1 blue tile, 1 green tile, 1 yellow tile, and 1 purple tile. Kaison chooses a tile from the bag, records its color, and then replaces the tile. She repeats this procedure a total of 50 times. Her results are shown in the table.
Q. How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow tile?
a. The experimental probability is the same as the theoretical probability.
b. The experimental probability is twice the theoretical probability.
c. The experimental probability is one-half of the theoretical probability.
d. The experimental probability is one-fifth of the theoretical probability.