out of 1,000 people in a small town, 500 are members of a choir. out of those 500 members in a choir, 100 are men. out of the 500 inhabitants that are not in a choir, 300 are men. what is the probability that a randomly drawn man is a member of a choir? (please indicate probability in percent.)
Answers
Answer:
Step-by-step explanation:
The key is figuring out how many of the 1000 people are men. Then you can use that number to find the answer based on how many men are in the choir vs the total male population of the town.
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We know that out of the 500 people who are not in choir, 300 are men.
We also know that 100 men are in the Choir.
That means there are a total of 400 men in this small town, and 600 women in the town.
Out of the 400 men, 100 are in the choir. That means if you randomly poll one of the 400 men in the town, you have a 1 in 4 chance that man is in the Choir.
1 in 4 = A 25% probability.
Given: Out of 1,000 people in a small town, 500 are members of a choir. Out of those 500 members in a choir, 100 are men. Out of the 500 inhabitants that are not in a choir, 300 are men.
To find: Probability that a randomly drawn man is a member of a choir
Solution: Total number of people in town= 1,000
Number of people in choir= 500
Number of men in choir= 100
Number of people not in choir= 500
Number of men not in choir= 300
Total men in the town
= Total men in choir+ Total men not in choir
= 100+300
= 400
Probability that a randomly chosen man is a member of the choir
= Total men in choir/ Total men in town
= 100/400
= 1/4
= 0.25
For converting a decimal into percentage, we multiply the decimal by 100.
Here, 0.25 in percentage
= 0.25 × 100
= 25 %
Therefore, probability that a randomly chosen man is a member of the choir is 25%.