Chapter 12.7, Problem 2LC

To determine

To find: The theoretical probability of each of the event rolling on the number cube.

Answer to Problem 2LC

The probability of the event is $\frac{2}{6}$ .

Explanation of Solution

Given:

The given event is $P\left(\text{less}\text{than}3\right)$ .

Calculation:

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

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

Consider the given event is,

  $P\left(\text{less}\text{than}3\right)$

The numbers on the cube less than 3 is 1 and 2, then the probability is,

  $P\left(\text{less}\text{than}3\right)=\frac{2}{6}$