Question

roll the number cube to find the observed frequency. roll the number cube 20 times to represent 20 purchases. what is the experimental probability of receiving a 50% coupon? write the probability as a decimal.

number	discount	observed frequency
2	20%	0
3	25%	0
4	30%	0
5	50%	0
6	75%	0
total		0

roll one time.

Explanation:

Step1: Recall experimental - probability formula

Experimental probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)

Step2: Identify total number of outcomes

The total number of rolls is \(n = 20\) (representing 20 purchases).

Step3: Assume we roll the die and get the observed frequencies

Let's assume after rolling the die 20 times, the number of times we get a 5 (corresponding to 50% coupon) is \(f\). Since the table currently shows 0 for all observed frequencies, we need to actually roll the die. But if we assume a general - case, say we roll the die 20 times and get the number 5 \(k\) times.
The experimental probability \(P\) of getting a 50% coupon (corresponding to rolling a 5 on the die) is \(P=\frac{k}{20}\).
Let's assume we roll the die 20 times and get the number 5, 4 times. Then \(P=\frac{4}{20}=0.2\)

Answer:

0.2 (assuming 4 favorable outcomes out of 20 total outcomes after rolling the die 20 times)