Question

Cara randomly chose a date in the month of

June then a letter in the word MATHLETE.
What is the probability she got a date that is
a multiple of 5, followed by a vowel?

A. 13/48

B. 3/10

C. 5/24

D. 3/40

Answer 1

Answer: D. 3/40

Explanation:

There is a 6/30 chance that Cara got a date that was a multiple of 5 since there are 6 multiples of 5 in a matter of the 30 days of June (5, 10, 15, 20, 25, 30). There is also a 3/8 chance that she will chose a vowel in the word MATHLETE since there are 3 vowels within these 8 letters (A, E, E). With this information, you must multiply the fractions of 6/30 and 3/8 together in order to find the probability of chosing both a multile of 5 as well as a vowel. This can be done by multiplying the numerators together and the denonimators together and then simplifying the fraction to receive an answer of 3/40.