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kevenluna10oytivm
27.01.2020 •
Mathematics
18% of all students at west colon high school play baseball and 32% play soccer. the probability that a student plays baseball given that the student plays soccer is 22%. calculate the probability that a student plays both baseball and soccer.
a. 0.6875
b. 02275
c. 0.0396
d. 1.
e. 0.0704
f. 0.0576
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Ответ:
e. 0.0704
Step-by-step explanation:
We solve this problem building the Venn's diagram of these probabilities.
I am going to say that:
A is the probability that a student plays baseball.
B is the probability that a student plays soccer.
We have that:
In which a is the probability that a student plays baseball but not soccer and
is the probability that a student plays both of these sports.
By the same logic, we have that:
18% of all students at West Colon High School play baseball and 32% play soccer.
This means that![A = 0.18, B = 0.32](/tpl/images/0473/4137/ec9b5.png)
The probability that a student plays baseball given that the student plays soccer is 22%.
This means that
Calculate the probability that a student plays both baseball and soccer.
This is![A \cap B](/tpl/images/0473/4137/aa367.png)
So the correct answer is:
e. 0.0704
Ответ:
Me
i want to because i am bored and need something to look at or do