Chapter 12.7, Problem 5LC

To determine

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

Answer to Problem 5LC

The odds in favour of rolling 4 on the cube is $1:5$ .

Explanation of Solution

Given:

The object is to find the number of odds in the favour of the rolling a 4 on a number cube.

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 numbers on the cube are from one to six on the six faces.

As, the number 4 appear only once on the cube, the favourable outcome is only 1 and the non-favourable is remaining 5.

Thus, the odds in favour of rolling 4 on the cube is $1:5$ .