50% of those who liked orange flavored soda also like lime flavored soda according to the conditional probability.
According to the statement
we have given that the in the survey 70% of the people surveyed said they like the orange flavored soda and 35% of the people surveyed said they liked the orange flavored soda AND the lime flavored soda.
And we have to find the conditional probability about this given statement.
So, We know that the
Let A and B represents the following events.
A : The people like the orange flavored soda.
B : The people like the lime flavored soda.
It is given that 70% of the people surveyed said they like the orange flavored soda.
so, P(A) = 0.70
And 35% of the people surveyed said they liked the orange flavored soda AND the lime flavored soda.
So, P(A ∩ B ) = 0.35
A. Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.
And
B. The formula for conditional probability is is written below:
P(A/B) = P(A ∩ B ) / P (B)
And
C. We need to find the percent of those who liked orange flavored soda also like lime flavored soda.
Use the above written conditional probability formula then
Substitute P(A)=0.70 and P(A∩B)=0.35 in the above formula.
So,
P(B/A) = P(A ∩ B ) / P (A)
P(B/A) = 0.35 / 0.70
P(B/A) = 0.50
So, 50% of those who liked orange flavored soda also like lime flavored soda according to the conditional probability.
Learn more about conditional probability here
brainly.com/question/23382435
Disclaimer: This question was incomplete. Please find the full content below.
Question:
The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. 70% of the people surveyed said they like the orange flavored soda. 35% of the people surveyed said they liked the orange flavored soda AND the lime flavored soda. Using this information and the Text Editor, answer the following questions:
1.What is conditional probability?
2.Explain the formula for conditional probability.
3.Explain how to solve this example.
What percent of those who liked orange flavored soda also like lime flavored soda, and how did you come to that conclusion?
#SPJ4
