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Chapter 35: Problem 1101

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

Short Answer

Expert verified
The probability of rolling a six on a fair six-sided die is \(\frac{1}{6}\).

Step by step solution

01

Identify the successful outcome

For this problem, our successful outcome is rolling a six on the die.
02

Determine the total number of possible outcomes

Since the die is six-sided and each face is distinct, there are six possible outcomes (1, 2, 3, 4, 5, or 6).
03

Calculate the probability

The probability of a certain event happening can be calculated with the formula: \(P(E) = \frac{Number\,of\,successful\,outcomes}{Total\,number\,of\,possible\,outcomes}\) For this problem, the probability of rolling a six is: \(P(6) = \frac{1}{6}\) Since there is only one successful outcome (rolling a six) out of the six possible outcomes.
04

Result

The probability of rolling a six on a fair six-sided die is \(\frac{1}{6}\).

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Most popular questions from this chapter

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