so that would make it simply as
9/36 or 1/4
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?
9/36 or 1/4
To calculate this probability, follow these steps:
Step 1: Count the number of favorable outcomes:
- There are four even numbers: 0, 2, 4, and 6.
- There are five vowels: A, E, I, O, and U.
Therefore, the number of favorable outcomes is 4 (even numbers) + 5 (vowels) = 9.
Step 2: Count the total number of possible outcomes:
- There are 10 slips with digits (0-9).
- There are 26 slips with letters (A-Z).
Therefore, the total number of possible outcomes is 10 (digits) + 26 (letters) = 36.
Step 3: Calculate the probability:
- P(even number or vowel) = Number of favorable outcomes / Total number of possible outcomes = 9/36.
Simplify this fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
- GCD(9, 36) = 9
- 9/9 = 1
- 36/9 = 4
So, the simplified probability is:
- P(even number or vowel) = 1/4 or 0.25
Therefore, the probability of drawing either an even number or a vowel from the bowl is 1/4 or 0.25.