Question

A number is chosen at random from 1 to 50. Find the probability of selecting either a multiple of 4 or a multiple of 5

Answer 1

The probability of selecting either a multiple of 4 or a multiple of 5 is $\frac{11}{25}$ or 0.44

Solution:

Given that, A number is chosen at random from 1 to 50

selecting either a multiple of 4 or a multiple of 5

Sample space is given as:

{ 1, 2, 3, ................, 50 }

Muliples of 4 = 4, 8, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52

Favorable outcomes = 12

Muliples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Favorable outcomes = 10

The probability is given as:

$Probability = \frac{\text{number of favorable outcomes}}{\text{total number of possible outcomes}}$

$probability = \frac{12}{50} + \frac{10}{50}\\\\probability = \frac{12+10}{50}\\\\probability = \frac{22}{50}\\\\probability = \frac{11}{25} \text{ or } 0.44$

Thus probability of selecting either a multiple of 4 or a multiple of 5 is $\frac{11}{25}$ or 0.44

Answer 2

The probability of selecting either a multiple of 4 or a multiple of 5 is 11/25.

What is the probability of selecting either a multiple of 4 or a multiple of 5?

A multiple of a number is the product of an integer and that number.

The first step is to determine the numbers that are a multiple of 4. They are  4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48.  There are 12 numbers.

The second step is to determine the numbers that are a multiple of 5. They are : 5, 10 15, 20, 25, 30, 35, 40, 45, 50. There are 10 numbers.

Probability of picking a multiple of 4 or 5 = 12/50 + 10/50 = 22/50 = 11/25

To learn more about multiples, please check: https://brainly.com/question/26030133