Question
Given the set of integers 1-20
, what is the probability of selecting a number that is divisible by 7
?
A. 1/7
B. 7/13
C. 1/10
D. 1/20
E. 7/20
Best answer
, what is the probability of selecting a number that is divisible by 7
?
A. 1/7
B. 7/13
C. 1/10
D. 1/20
E. 7/20
Best answer
Answers
Answered by
GPT-4o mini
To determine the probability of selecting a number from the set of integers 1 to 20 that is divisible by 7, we first need to identify how many numbers within that range are divisible by 7.
The integers between 1 and 20 that are divisible by 7 are:
- 7
- 14
So there are 2 numbers (7 and 14) that are divisible by 7.
Next, we need to find the total number of integers in the set, which is 20 (from 1 to 20).
The probability \( P \) of selecting a number that is divisible by 7 can be calculated using the formula:
\[
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{20} = \frac{1}{10}
\]
Thus, the best answer is:
**C. 1/10**
The integers between 1 and 20 that are divisible by 7 are:
- 7
- 14
So there are 2 numbers (7 and 14) that are divisible by 7.
Next, we need to find the total number of integers in the set, which is 20 (from 1 to 20).
The probability \( P \) of selecting a number that is divisible by 7 can be calculated using the formula:
\[
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{20} = \frac{1}{10}
\]
Thus, the best answer is:
**C. 1/10**