Each of the numbers 0 through 26 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.
I think it may be 14/26?? Please help!
Yes, it is 7/13.
0, 1, 2, .... ,26 aren't there 27 of those?
so it would be 14/27
oh yes you are correct!! thanks a million!!
To determine the probability of selecting an even number from the set of numbers 0 through 26, you need to find the ratio of the number of favorable outcomes to the total number of possible outcomes.
Favorable outcomes: In this case, the favorable outcomes are the even numbers between 0 and 26, which are 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, and 26. There are 14 even numbers in total.
Total number of possible outcomes: Since there are 27 numbers (0 through 26) in the hat, the total number of possible outcomes is 27.
Now, divide the number of favorable outcomes by the total number of possible outcomes to get the probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 14 / 27
So, the probability of randomly selecting an even number is 14/27, not 14/26 as you mentioned earlier.