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50% of those who liked orange flavored soda also like lime flavored soda.
What is probability?
- Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
- The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
To find what percent of those who liked orange flavored soda also like lime flavored soda:
Let A and B represent 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.
- P(A) = 70% = 0.70
35% of the people surveyed said they liked the orange-flavored soda AND the lime-flavored soda.
- P(A∩B) = 35% = 0.35
(1) Conditional probability:
- It is the likelihood that an event or outcome will occur based on the occurrence of a previous event or outcome.
(2) If we have two events X and Y, and we need to find the probability of event X as event Y is given then the formula for conditional probability is:
- P(X/Y) = P(X∩Y)/P(Y)
(3) We need to find the percentage of those who liked orange flavored soda also like lime flavored soda.
- P(B/A) = P(A∩B)/P(A)
Substitute P(A)=0.70 and P(A∩B)=0.35 in the above formula.
- P(B/A) = 0.35/ 0.70
- P(B/A) = 0.5 = 50%
Therefore, 50% of those who liked orange flavored soda also like lime flavored soda.
Know more about probability here:
https://brainly.com/question/25870256
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The complete question is given below:
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?
