Question

Numbers consist of three different numbers, arranged from the numbers 0, 1, 2, 3, 4, and 5. If you take a number, then the chance of getting a number divided by five is ...

a. 0.16

b. 0.20

c. 0.26

d. 0.32

e. 0.36

Answer 1

Answer: E

Discussion:

The number of ways to arrange numbers consisting of 3 different numbers is

The first number can be filled in (1, 2, 3, 4, 5) = 5

The second number can be filled in (0, 1, 2, 3, 4, 5) but has been used for the first number = 6 - 1 = 5

The third number can be filled in (0, 1, 2, 3, 4, 5) but has been used for two numbers = 6 - 2 = 4

So, the number of numbers that can be formed is

5 × 5 × 4 = 100

The number of ways to take the number divided by 5 is

The third number that can be divisible by 5 is 0 = 1

The first number can be filled in (1, 2, 3, 4, 5) = 5

The second number can be filled in (1, 2, 3, 4, 5) but has been used for the first number = 5 - 1 = 4

So, the number of digits divided by 5 with the ending 0 is

4 x 5 x 1 = 20

The third number that can be divisible by 5 is 5 = 1

The first number can be filled in (1, 2, 3, 4) = 4

The second number can be filled in (0,1, 2, 3, 4) but has been used for the first number = 5 - 1 = 4

So, the number of digits divided by 5 with the ending 0 is

4x4x1 = 16

So, the number of numbers that can be divided by 5 is

20 + 16 = 36

Then the chance of getting a number divided by five is

P = 36/100 = 0.36