consider a bowl containing 36 different slips of paper. Ten of the slips of paper each contain one of the set of digits 0 through 9 and 26 slips each contain one of the 26 letters of
the alphabet. Determine the probabilities of the events specified.
Drawing one slip, what is P(even number or a vowel)?
I know that there are four even numbers and five vowels. How do I figure this out?
To determine the probability of drawing one slip that represents an even number or a vowel, you need to calculate the ratio of the favorable outcomes to the total possible outcomes.
First, let's count the number of favorable outcomes, which are slips representing an even number or a vowel. There are four even numbers (0, 2, 4, 6) and five vowels (aeiou). Since each slip is distinct, we can add these numbers together, resulting in a total of nine favorable outcomes.
Next, let's count the total number of possible outcomes. There are 36 slips of paper in total, so that would be the total number of possible outcomes.
Now, we can use this information to calculate the probability:
P(even number or a vowel) = favorable outcomes / total outcomes
= 9 / 36
Simplifying the fraction, we find:
P(even number or a vowel) = 1/4
Therefore, the probability of drawing one slip that represents an even number or a vowel is 1/4 or 25%.