Answer:
1.
P(even number) = 3/6 or 1/2
P(even number) = 50%
P(even number) = 0.5
Description: equally likely
2.
P(0) = 0/6
P(0) = 0
P(0) = 0
Description: impossible
3.
P(less than 7) = 6/6
P(less than 7) = 1
P(less than 7) = 100%
Description: certain
Step-by-step explanation:
In Mathematics, probability is a prediction of how likely events are to happen.
To solve for the probability of an event, count the favorable outcomes of that specific event along with the total number of outcomes. Then, write them down in fraction form. If possible, simplify the fraction in lowest terms. Once you have the answer, you may also convert it to decimal or percent.
[tex]P(x)=\frac{number of favorable outcomes}{total number of outcomes}[/tex]
Take note that when counting for the number of favorable outcomes, even if some numbers are recurring, each of it is still counted.
For this problem, the wheel is divided into 6 therefore, 6 is the total number of outcomes. The values included are [1][2][3][4][5][6].
For the favorable outcomes, three of the total number of outcomes are even. They are 2, 4, and 6. Thus, the probability of spinning an even number is 3/6 or 1/2 in lowest terms.
To convert a fraction into a decimal, simply divide the numerator by the denominator.
3 ÷ 6 = 0.5
1 ÷ 2 = 0.5
To convert a decimal into a percent, simply multiply it by 100 then add the percent sign (%).
0.5 × 100 = 50%.
As for 0, it is not included in the wheel, making the probability of spinning it 0/6. Since the result is 0, it will remain as 0 regardless of what form is being asked.
Meanwhile, all the numbers in the wheel are less than 7. So, the probability of spinning a number less than 7 is 6/6 or 1 in simplest form.
6 ÷ 6 = 1
1 × 100 = 100%
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