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Chapter 2: Problem 87

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

Short Answer

Expert verified
The probability of throwing a "six" with a single die is \(\frac{1}{6}\) or approximately 0.1667.

Step by step solution

01

Identify the successful outcomes

In our case, the successful outcome is rolling a "six". There is only 1 possible successful outcome, which is rolling a six (6).
02

Identify the total number of possible outcomes

For a 6-sided die, there are 6 possible faces that could be rolled: 1, 2, 3, 4, 5, and 6. Thus, the total number of possible outcomes is 6.
03

Calculate the probability

Using the probability formula mentioned earlier, we will substitute the successful and total outcomes as follows: \(P(\text{rolling a six}) = \frac{\text{Number of successful outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{6}\) The probability of rolling a "six" with a single 6-sided die is \(\frac{1}{6}\), or approximately 0.1667 (rounded to four decimal places).

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