Chapter 12.7, Problem 8LC

To determine

To find: The error in the result.

Answer to Problem 8LC

The error is that the student used 3 instead of the numbers that are less than three. Thus, the correct probability is $\frac{1}{5}$ .

Explanation of Solution

Given:

The probability of getting a number less than 3.

The given probability is $\frac{\text{favourable}\text{outcomes}}{\text{total}\text{outcomes}}=\frac{3}{10}$ .

Calculation:

Consider the formula for the probability of the event is of the form,

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

The number total number is 10 and the less the number less than 3 is 1 and 2. Then, the probability that number is less than 3 is,

  $\begin{array}{c}P=\frac{2}{10}\\ =\frac{1}{5}\end{array}$

Thus, the error is that the student used 3 instead of the numbers that are less than three.