Question

A cable provider wants to contact customers in a particular telephone exchange to see how satisfied they are with the new digital tv service the company has provided. all numbers are in the 174 ​exchange, so there are 10 comma 000 possible numbers from 174​-0000 to 174​-9999. if they select the numbers with equal​ probability: what is the probability the number selected will be an even ​number?

Answer 1

1/2 or 0.5

Explanation:

To determine whether the numbers are odd or even, we must take note of the last digit of the number.

The number ranges from 174​-0000 to 174​-9999

So, the last digit ranges from 0 to 9.

For the number to be even, the last digit must be even or zero.

Possible last digit for even numbers are;

0,2,4,6,8

Making it 5 possible last digit for even numbers.

Possible last digit of all numbers are;

0,1,2,3,4,5,6,7,8,9

10 possible last digits.

the probability the number selected will be an even ​number;

P = number of even last digits/number of all possible last digits

P = 5/10

P = 1/2 = 0.5