Each of the numbers 0 through 15 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. determine the probability that the number selected is even. Note 0 is considered an even number.
8/15
To determine the probability that the number selected is even, we need to first determine the total number of possible outcomes, and then determine the number of favorable outcomes (even numbers).
The total number of possible outcomes is the number of pieces of paper in the hat, which is 16.
The number of favorable outcomes is the number of even numbers from 0 to 15, which is 8 (0, 2, 4, 6, 8, 10, 12, and 14).
Therefore, the probability that the number selected is even is given by:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 8 / 16
Simplifying the fraction, we get:
Probability = 1/2
So, the probability that the number selected is even is 1/2 or 0.5.