A spinner with 5 equal sections labeled 1 -5 is spun 50 times. What is the theoretical probability of spinning an even number?
five numbers ... two are even
p(even) = 2 / 5
To find the theoretical probability of spinning an even number on the spinner, we need to determine the total number of favorable outcomes (spinning an even number) and the total number of possible outcomes (spinning any number).
In this case, a spinner with 5 equal sections labeled 1-5 means there are 5 possible outcomes when spinning the spinner. Out of these 5 possible outcomes, we need to determine the number of favorable outcomes for spinning an even number.
In the given spinner, there are two even numbers: 2 and 4. This means there are 2 favorable outcomes for spinning an even number.
The theoretical probability can be calculated as:
Probability of spinning an even number = Number of favorable outcomes / Number of possible outcomes
In this case, the number of favorable outcomes is 2 (spinning an even number), and the number of possible outcomes is 5 (spinning any number).
Therefore, the theoretical probability of spinning an even number = 2/5.
Hence, the theoretical probability of spinning an even number on the spinner is 2/5.
To find the theoretical probability of spinning an even number on the spinner, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes: There are 5 sections on the spinner, so the total number of possible outcomes is 5.
Number of favorable outcomes: Out of the 5 sections, 2 are labeled with even numbers (2 and 4).
Therefore, the number of favorable outcomes is 2.
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / 5
Simplifying the fraction, we have:
Probability = 2/5
Therefore, the theoretical probability of spinning an even number on the spinner is 2/5.