There are 3 men and 7 women in room a and 6 men and 3 women in room b. one random person from room a moves to room b. then a person comes out of room b. what is the probability that the person from room b is a woman?
Mathematics · High School · Thu Jan 21 2021
Answered on
Given the statement:
There are 3 men and 7 women in room a and 6 men and 3 women in room b. one random person from room a moves to room b, then a person comes out of room b.
Determine the probability that the person from room b is a woman.
Explanation:
To understand the context clearly, we must simply know how many persons there are in room b. Since there are 6 men and 3 women in room b, then there is a total of 9 persons, but then one person from room a move to room b, therefore the total number of people in room b is 10. To find the probability that the person who came out of room b is a women, we simply need to divide the total number of women which is 3, by the total number of people, which is 10.
Solution:
= 3/10
= 0.3
Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.
= (0.3)(100)
= 30%
Final answer:
The probability that the person from room b is a woman is 30%.