A florist sold bouquet of red roses to 15 of the first 20 customers who came into his shop.
1. What is the experimental probability that a random customer in that group bought a bouquet of red roses?
2. Based on the experimental probability, how many bouquets of red roses should the florist expect to sell on a day with 120 customers?
P = 15/20 = 3/4
Since 3/4 of the experimental group bought roses, we can estimate that 3/4 of the larger group would do so too.
3/4 * 120 = ______ people
To find the answers to these questions, we need to understand the concept of experimental probability. Experimental probability is the number of favorable outcomes divided by the total number of possible outcomes in a given experiment.
In this case, there were 15 customers who bought a bouquet of red roses out of a total of 20 customers.
1. To find the experimental probability, we divide the number of customers who bought a bouquet of red roses (favorable outcomes) by the total number of customers (possible outcomes). So, the experimental probability is 15/20 = 0.75 or 75%.
2. Now, we can use the experimental probability to estimate how many bouquets of red roses the florist might expect to sell on a day with 120 customers. We can do this by multiplying the experimental probability by the total number of customers. So, 0.75 * 120 = 90.
Based on the experimental probability, the florist can expect to sell around 90 bouquets of red roses on a day with 120 customers.