Question

Given the set of integers 1 − 20 , what is the probability of selecting a number that is divisible by 7 ?

Answer 1

Answer 1/10=0.1

There are two numbers from 1-20 that are divisible by 7 (7 and 14). 2/20 reduces to 1/10. This can be represented as a decimal (0.1), but it is usually a fraction(1/10).

Answer 2

The probability of selecting a number that is divisible by 7 is $\frac{1}{10}$.

What is probability?

Probability deals with finding out the likelihood of the occurrence of an event.

It measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events.

The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

Given

Set of integers = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

The probability of selecting a number that is divisible by 7 :

We all know the 7 multiples less than 20 : 7, 14

There are 2 numbers that are divisible by 7 in the set of integers 1 - 20

Therefore, Number of favorable outcomes n(E) = 2

Total number favorable outcomes n(S) = 20

Probability is the ratio of number of favorable outcomes to total number of favorable outcomes.

$P(E) = \frac{n(E)}{n(S)}$

$P(E) = \frac{2}{20} =\frac{1}{10}$

Hence,

The probability of selecting a number that is divisible by 7 is $\frac{1}{10}$.

Find out more information about probability here

https://brainly.com/question/14395172

#SPJ2