Question

A number from one through 72 is chosen at random. Find each probability as a fraction decimal and percent in simplest form. P( factor of 72 and Evan)

Answer 1

The probability of 'P(factor of 72 and even)' = 1/8 = 12.5%

Step-by-step explanation:

To find the probability of choosing a number that is both a factor of 72 and even, we need to determine how many numbers satisfy both conditions and divide that by the total number of numbers from 1 to 72.

A factor of 72 is a number that divides evenly into 72.

These factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

Out of these factors, the even numbers are 2, 4, 6, 8, 12, 18, 24, 36, and 72.

So, there are 9 numbers that are both factors of 72 and even.

The probability is equal to the number of favorable outcomes (9) divided by the total number of possible outcomes (72).

Therefore, the probability is:

P(factor of 72 and even) = 9/72

= 1/8 = 0.125

= 12.5%