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Chapter 8: Problem 418

In a single throw of a single die, find the probability of obtaining either a 2 or a 5 .

Short Answer

Expert verified
The probability of obtaining either a 2 or a 5 in a single throw of a single die is \(\frac{1}{3}\).

Step by step solution

01

Determine the number of favorable outcomes

Our favorable outcomes are only two: getting a 2 or a 5.
02

Determine the total number of possible outcomes

A standard die has 6 sides, which means there are 6 possible outcomes when rolling the die (1,2,3,4,5, and 6).
03

Calculate the probability

To calculate the probability, we need to divide the number of favorable outcomes by the total number of possible outcomes. Using the numbers we determined in the previous steps, the probability is: \[P(2 \text{ or } 5) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{2}{6}\]
04

Simplify the answer

We can simplify the fraction \(\frac{2}{6}\) to \(\frac{1}{3}\). So the probability of getting either a 2 or a 5 in a single throw of a die is \(\frac{1}{3}\) .

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