Find The Indicated Probability A Die With 6 Sides Is Rolled

find The Indicated Probability A Die With 6 Sides Is Rolle

Find the indicated probability. A die with 6 sides is rolled. What is the probability of rolling a number less than 5?

Paper For Above instruction

The probability question involving a standard six-sided die focuses on determining the likelihood of an event within the sample space. Each face of the die is equally likely to land face-up upon a roll. The sample space consists of the numbers 1 through 6, each with an equal probability of 1/6.

Specifically, the problem asks for the probability of rolling a number less than 5. The numbers satisfying this condition are 1, 2, 3, and 4. These four outcomes are favorable to the event of interest.

Since all outcomes are equally likely in a fair die, the probability of rolling a number less than 5 is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. There are 4 favorable outcomes, and the total number of outcomes is 6. Therefore, the probability P of rolling a number less than 5 is:

P = Number of favorable outcomes / Total outcomes = 4/6 = 2/3 ≈ 0.6667.

Thus, the probability that the die shows a number less than 5 when rolled is approximately 0.667 when rounded to three decimal places.

References

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