Question

3 of the digits 0-9 are chosen randomly by a computer what is the probability that it will choose 3 sequential digits

Answer 1

The probability is 1/15

Explanation:

Firstly, we need to get the total

number of possible choices

That will be selecting any random 3 numbers from 10 numbers

The number of ways this can be done is 10 C 3 = 120 ways

Now, let us get the possible sequential numbers;

These are ;

0 1 2

1 2 3

2 3 4

3 4 5

4 5 6

5 6 7

6 7 8

7 8 9

Out of the total 120 ; there are 8 possible sequential digits

The probability in this case is thus;

8/120 = 1/15