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QuestionWhat is the probability of rolling a "4" or a "5" on a 6-sided die? Provide your answer as a fraction or decimal (3 digits).

Studdy Solution

STEP 1

Assumptions1. The die is fair, meaning each side (number) has an equal chance of being rolled. . The die is6-sided, meaning there are6 possible outcomes in a single roll.
3. The events of rolling a "4" and rolling a "5" are mutually exclusive, meaning they cannot happen at the same time.

STEP 2

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.
(Event)=Number of favorable outcomesTotal number of outcomes(Event) = \frac{Number\, of\, favorable\, outcomes}{Total\, number\, of\, outcomes}

STEP 3

In this case, the total number of outcomes is6, because there are6 possible numbers that can be rolled on a6-sided die.

STEP 4

The number of favorable outcomes is2, because we are interested in the events of rolling a "4" or a "".

STEP 5

Substitute the number of favorable outcomes and the total number of outcomes into the probability formula.
(4 or 5)=2(4\, or\,5) = \frac{2}{}

STEP 6

implify the fraction to get the probability.
(4 or 5)=13(4\, or\,5) = \frac{1}{3}The probability that the number rolled is a "4" or a "5" is1/3.

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