Question

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.
How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow tile?
The experimental probability is the same as the theoretical probability.
The experimental probability is twice the theoretical probability.
The experimental probability is one-half of the theoretical probability.
The experimental probability is one-fifth of the theoretical probability.

Answer 1

Answer:

The experimental probability is the same as the theoretical probability.

Step-by-step explanation:

Theoretical probability of a yellow tile 1/5

1/5 * 50 trials = 10 yellow tiles should be drawn

Answer 2

Answer:

Correct option is 1st option

Step-by-step explanation:

1. The theoretical probability is a ratio of the number of favorable outcomes to the number of possible outcomes,

$Pr_{theoretical}=\dfrac{\text{number of all favorable outcomes}}{\text{numberof all possible outcomes}}.$

2. The experimental probability is the ratio of the number of times an outcome occurs to the total number of times the activity is performed,

$Pr_{experimental}=\dfrac{\text{number of times an outcome occurs}}{\text{total number of times the activity is performed}}.$

3. In your case, the experimental probability (from the table) is

$Pr_{experimental}=\dfrac{1}{5}.$

Note that a bag contains 5 tiles in total, one yellow tile among them, then

• number of favorable outcomes = 1;
• number of all possible outcomes = 5

and

$Pr_{theoretical}=\dfrac{1}{5}.$

Thus, the experimental probability is the same as the theoretical probability