The theoretical probability of a simple event is P(event) = number of favorable outcomestotal number of outcomes in a sample space
EXAMPLE: A jar contains 10 green, 7 red, and 3 blue marbles. What is the probability of randomly picking a red marble?
P(red) = number of red marblestotal number of marbles in the sample space=710+7+3=720
The probability of randomly picking a red marble is
720=0.35=35%
Use the spinner below to complete the problem.
Determine the probability of the spinner landing on a 3.
(3 points)
Enter the probability as a SIMPLIFIED fraction:
Enter the probability as a decimal with two decimal places:
Enter the probability as a percent:
%
To determine the probability of the spinner landing on a 3, we first need to identify the number of favorable outcomes and the total number of outcomes.
There is only 1 favorable outcome (landing on a 3) and a total of 8 possible outcomes (numbers 1-8 on the spinner).
Therefore, the probability of the spinner landing on a 3 is:
As a simplified fraction: 1/8
As a decimal: 0.125
As a percent: 12.5%