Question

A number cube with the numbers 1 through 6 is rolled. What is the theoretical probability, as a decimal, of the number cube showing a 3? Round the decimal to the nearest hundredth.

Answer 1

Answer:

The probability of the number cube showing a 3 = 0.1667

Step-by-step explanation:

A number cube with the numbers 1 through 6 is rolled.

So, The numbers which are marked on the cube : 1, 2, 3, 4, 5, 6

Total no. of numbers which are marked on the number cube = 6

No. of times the number cube is rolled = 1

We need to find the theoretical probability, as a decimal, of the number cube showing a 3.

Therefore, The probability of the number cube showing a 3 is given by :

$\text{Probability = }\frac{\text{No. of favorable outcomes}}{\text{Total no. of possible outcomes}}\\\\\implies\text{Probability = }\frac{1}{6}\\\\\implies \text{Probability }\approx =0.1667$

Answer 2

The theoretical probability of rolling a three would be 1/6.
1/6 expressed as a decimal would be 0.17.