Pregunta
A fair die ( 6 sided) is rolled. Express the answers in simplest fraction form.
P(even *) =
multiples of 2
odd
multiples of 4
or 3
or higher
P(even *) =
Ask by Frazier Dawson. in the United States
Jan 22,2025
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Solución
Let’s analyze each probability for a fair 6-sided die with outcomes
. Each outcome has an equal probability of
.
-
Even numbers: 2, 4, 6
-
Multiples of 2 are the even numbers: 2, 4, 6
-
Odd numbers: 1, 3, 5
-
Multiples of 4: 4
-
Favorable outcomes: 2, 3
-
Since a 6-sided die only has numbers up to 6, getting a 7 is impossible.
-
Favorable outcome: 5
-
Outcomes 2 or higher: 2, 3, 4, 5, 6
Summary of Probabilities
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Como
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The Deep Dive
To find the probabilities, we first need to understand the total possible outcomes when rolling a fair six-sided die, which are the numbers 1, 2, 3, 4, 5, and 6. This means we have a total of 6 possible outcomes.
-
(The even numbers are 2, 4, and 6). -
(Again, 2, 4, and 6). -
(The odd numbers are 1, 3, and 5). -
(The only multiple of 4 is 4 itself). -
(The numbers are 2 and 3). -
(There is no 7 on a six-sided die). -
(Only the number 5 counts). -
(The numbers that are 2 or higher are 2, 3, 4, 5, and 6).
So here are your final answers:
P(even) =
P(multiples of 2) =
P(odd #) =
P(multiples of 4) =
P(2 or 3) =
P(7) = 0
P(5) =
P(2 or higher) =
P(even) =
P(multiples of 2) =
P(odd #) =
P(multiples of 4) =
P(2 or 3) =
P(7) = 0
P(5) =
P(2 or higher) =

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