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Chapter 23: Problem 528

What is the probability of throwing a "six" with a single die?

Short Answer

Expert verified
The probability of rolling a "six" with a single fair six-sided die is \(\frac{1}{6}\) or approximately 0.1667, which can also be expressed as 16.67%.

Step by step solution

01

Identify the total number of possible outcomes

In this case, we are considering a single roll of a fair six-sided die. Each face has an equal probability of showing up, and there are six faces. Therefore, the total number of possible outcomes is 6.
02

Identify the favorable outcomes

The problem asks for the probability of rolling a "six". There is only one favorable outcome here: rolling a six.
03

Calculate the probability

The probability of a certain event is the ratio of favorable outcomes to total outcomes. In this case, the probability of getting a "six" on a fair six-sided die can be calculated using the formula: Probability (P) = \(\frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}}\)
04

Perform the calculation

Substitute the values obtained in Steps 1 and 2 into the probability formula: P(rolling a six) = \(\frac{1}{6}\) The probability of rolling a "six" with a single die is \(\frac{1}{6}\) or approximately 0.1667, which can also be expressed as 16.67%.

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