Respuesta :
Answer:
64.38% probability that this person is a woman
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have that:
90 people are asked if they like tea.
57 of these people are women.
So 90-57 = 33 are men.
7 of the men do not like tea.
So 33-7 = 26 of the men like tea.
73 of the 90 people like tea.
26 men and 73-26 = 47 women
One of the people who like tea is chosen at random. What is the possibility that this person is a woman
Desired outcomes:
47 women who like tea.
Total outcomes:
73 people who like tea
47/73 = 0.6438
64.38% probability that this person is a woman
Answer:
47/73 or 0.644
Step-by-step explanation:
Since 57 of these people are women, then the number of men there, is = 90 - 57 = 33 men. Again, we are told that 73 out of the 90 people like tea. That means that the number of people who do not like tea = 90 - 73 = 17 people.
If 7 of the men do not like tea then the number of men in the group of 90 people that like tea will be gotten by subtracting 7 that don't like tea from the total number of men in the group:
33 men - 7 men = 26 men like tea.
Since there are 73 people out of the group of 90 that enjoy tea, then the total number of women that enjoy tea is:
= Total number of people that like tea - number of men that like tea.
= 73 - 26 = 47 women
Since there are 47 women that like tea here, then the Probability of selecting or picking a woman from the people that like tea is:
Number of women that like tea/total number of people that like tea
= 47/73 or 0.644
The probability of picking a woman that likes tea out of the group that likes tea is 47/73 or 0.644
