Math

QuestionWhat is the percentage probability PP that a roll of a 6-sided die is not even?

Studdy Solution

STEP 1

Assumptions1. The die is fair, meaning all outcomes are equally likely. . The die has6 sides, numbered1 through6.
3. An event is considered "even" if the outcome is an even number (,4, or6).
4. We are looking for the probability of the event "not even", meaning the outcome is an odd number (1,3, or5).

STEP 2

First, we need to find the total number of possible outcomes when rolling the die. Since a die has6 sides, there are6 possible outcomes.
Totaloutcomes=6Total\, outcomes =6

STEP 3

Next, we need to find the number of outcomes that satisfy the event "not even". The odd numbers on a die are1,3, and5, so there are3 outcomes that satisfy the event "not even".
Notevenoutcomes=3Not\, even\, outcomes =3

STEP 4

The probability of an event is calculated as the number of outcomes that satisfy the event divided by the total number of outcomes.
(Noteven)=NotevenoutcomesTotaloutcomes(Not\, even) = \frac{Not\, even\, outcomes}{Total\, outcomes}

STEP 5

Plug in the values for the number of outcomes that satisfy the event "not even" and the total number of outcomes to calculate the probability.
(Noteven)=3(Not\, even) = \frac{3}{}

STEP 6

Calculate the probability of the event "not even".
(Noteven)=36=0.5(Not\, even) = \frac{3}{6} =0.5

STEP 7

To express the probability as a percentage, we multiply the decimal value by100.
(Noteven)=0.5times100%(Not\, even) =0.5 \\times100\%

STEP 8

Calculate the percentage probability of the event "not even".
(Noteven)=0.5times100%=50%(Not\, even) =0.5 \\times100\% =50\%The probability of rolling a number that is not even on a6-sided die is50%.

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