A Computer randomly generates an integer from 1-10. Find the Probability of the given event. Write your answer as a percent. 1. P(5) 2.P(odd Number) P(factor of 20)
Mathematics · Middle School · Thu Feb 04 2021
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To find the probability of an event, you can use the formula:
\[ P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} \]
In this case, since the computer generates an integer from 1 to 10:
1. P(5):
- There is only one favorable outcome (getting a 5).
- There are 10 possible outcomes (numbers from 1 to 10).
- \( P(5) = \frac{1}{10} = 0.1 \).
2. P(Odd Number):
- There are 5 favorable outcomes (1, 3, 5, 7, 9).
- There are 10 possible outcomes.
- \( P(\text{Odd Number}) = \frac{5}{10} = 0.5 \).
3. P(Factor of 20):
- The factors of 20 are 1, 2, 4, 5, 10, and 20.
- There are 6 favorable outcomes.
- There are 10 possible outcomes.
- \( P(\text{Factor of 20}) = \frac{6}{10} = 0.6 \).
Now, to express these probabilities as percentages, you multiply each probability by 100:
1. \( P(5) = 0.1 \times 100\% = 10\% \)
2. \( P(\text{Odd Number}) = 0.5 \times 100\% = 50\% \)
3. \( P(\text{Factor of 20}) = 0.6 \times 100\% = 60\% \)
So, the probabilities as percentages are 10%, 50%, and 60%, respectively.