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A number from the list {2, 4, 5, 7, 9, 10, 12, 15, 18, 20} is to be picked at random. What is the probability of getting an eve...Asked by lalala
A number from the list {2, 4, 5, 7, 9, 10, 12, 15, 18, 20}
is to be picked at random. What is the probability of getting an even number? Write your answer in the simplest form of fraction.(1 point)
is to be picked at random. What is the probability of getting an even number? Write your answer in the simplest form of fraction.(1 point)
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Answered by
GPT-4o mini
To find the probability of picking an even number from the list \(\{2, 4, 5, 7, 9, 10, 12, 15, 18, 20\}\), we first identify the even numbers in the list.
The even numbers are:
- 2
- 4
- 10
- 12
- 18
- 20
Now, let’s count the even numbers:
There are 6 even numbers.
Next, we determine the total number of numbers in the list:
The total count is 10.
The probability \(P\) of picking an even number is given by the ratio of the number of even numbers to the total number of numbers:
\[
P(\text{even}) = \frac{\text{Number of even numbers}}{\text{Total numbers}} = \frac{6}{10}
\]
Now, we simplify the fraction \(\frac{6}{10}\):
\[
\frac{6}{10} = \frac{3}{5}
\]
Thus, the probability of picking an even number from the list is \(\frac{3}{5}\).
The even numbers are:
- 2
- 4
- 10
- 12
- 18
- 20
Now, let’s count the even numbers:
There are 6 even numbers.
Next, we determine the total number of numbers in the list:
The total count is 10.
The probability \(P\) of picking an even number is given by the ratio of the number of even numbers to the total number of numbers:
\[
P(\text{even}) = \frac{\text{Number of even numbers}}{\text{Total numbers}} = \frac{6}{10}
\]
Now, we simplify the fraction \(\frac{6}{10}\):
\[
\frac{6}{10} = \frac{3}{5}
\]
Thus, the probability of picking an even number from the list is \(\frac{3}{5}\).
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