To determine the probability that Larry's sister will pick a number greater than 13 from the range of 1 to 20, we need to follow a series of steps:
1. Identify the total number of possible outcomes:
Larry's sister can pick any of the 20 numbers from 1 to 20. Therefore, the total number of possible outcomes is 20.
2. Identify the number of favorable outcomes:
The favorable outcomes are the numbers greater than 13. These numbers are 14, 15, 16, 17, 18, 19, and 20. Therefore, there are 7 favorable outcomes.
3. Calculate the probability:
Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes. Using the identified numbers:
[tex]\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\][/tex]
Plugging in the values:
[tex]\[
\text{Probability} = \frac{7}{20}
\][/tex]
4. Convert the fraction to decimal form:
To convert the fraction [tex]\(\frac{7}{20}\)[/tex] to a decimal, you perform the division:
[tex]\[
\frac{7}{20} = 0.35
\][/tex]
So, the probability that Larry's sister will pick a number greater than 13 is [tex]\(0.35\)[/tex].
