Question

An integer from 1 to 30 is drawn at random. Find P(# is a multiple of 6).

a) 1/5
b) 5
c) 6
d) 1/6

Answer 1

To find the probability, we count the favorable outcomes (multiples of 6) and divide them by the total number of outcomes (numbers from 1 to 30). The probability of getting a number that is a multiple of 6 is 1/6.

Step-by-step explanation:

To find the probability that a number is a multiple of 6, we need to determine the number of favorable outcomes (numbers that are multiples of 6) and divide it by the total number of possible outcomes (numbers from 1 to 30).

The multiples of 6 between 1 and 30 are 6, 12, 18, 24, and 30. There are 5 favorable outcomes.

The total number of possible outcomes is 30.

Therefore, the probability that a number is a multiple of 6 is 5/30, which can be simplified to 1/6.