Thirty cards are numbered from 1 to 30, inclusive. if one card is drawn at random, what is the probability that the number on the card will be divisible by either 3 or 5?

Find the numbers between 1 and 30 that are divisible by 3 or 5:

Divisible by 3:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30

Divisible by 5:

5, 10, 15, 20, 25, 30

There are 10 numbers divisible by 3 and  6 numbers divisible by 5 for a total of 16 numbers.

The probability is 16/30, which reduces to 8/15 are divisible by 3 or 5.

5

step-by-step explanation:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.