At the Butler County Fair, 22 of the last 64 people to spin the prize wheel won a prize. What is the experimental probability that the next person to spin the wheel will win a prize?
The experimental probability is the ratio of the number of times a certain outcome occurs to the total number of trials. In this case, the outcome we are interested in is winning a prize, and the total number of trials is the total number of people who have spun the wheel, which is 64.
So, the experimental probability of winning a prize is:
22/64
Simplifying this fraction by dividing both the numerator and denominator by 2, we get:
11/32
Therefore, the experimental probability that the next person to spin the wheel will win a prize is 11/32 or approximately 0.34 (rounded to two decimal places).
To find the experimental probability, we need to divide the number of favorable outcomes (the number of people who won a prize) by the total number of outcomes (the number of people who spun the wheel).
The number of people who won a prize is given as 22, and the total number of people who spun the wheel is given as 64.
So, the experimental probability can be calculated as:
Experimental probability = Number of people who won a prize / Total number of people who spun the wheel
Experimental probability = 22 / 64
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 2.
Experimental probability = 11 / 32
So, the experimental probability that the next person to spin the wheel will win a prize is 11/32.
To find the experimental probability, you need to divide the number of favorable outcomes (people who won a prize) by the total number of outcomes (people who spun the wheel).
In this case, the number of favorable outcomes is 22 (people who won a prize), and the total number of outcomes is 64 (people who spun the wheel).
So, the experimental probability of the next person to spin the wheel winning a prize is:
Experimental Probability = Number of Favorable Outcomes / Total Number of Outcomes
Experimental Probability = 22 / 64
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
Experimental Probability = 11 / 32
Therefore, the experimental probability that the next person to spin the wheel will win a prize is 11/32.