Statistics task

Question

The marketing research department at the French mall plans to survey teenagers about a newly developed soft drink. 70% of the people surveyed said that they liked the orange flavored soda. 35% of the people surveyed said they liked the orange flavored soda and the lime flavored soda. What percent of those who liked orange soda also like lime soda?

1) what is conditional probability?

2)explain the formula for conditional probability?

3) explain how to solve this example?

4)what percent of those who liked orange soda also like lime flavored soda

5)describe your answer

Answer 1

The conditional probability is the probability of a second event happening given that the first event already took place.

First, look at the probability of teenagers who liked orange soda. P(Orange Soda) = 0.70 or 70%.

Second, look at the probability of teenagers who liked both orange and soda. P(Orange and Lime Soda) = 0.35 or 35%.

Set up the formula for the conditional probability.

P(Lime Soda | Orange Soda) = P(Orange and Lime Soda)/P(Orange soda) = 0.35/0.70 = 0.50

The probability of teenagers who liked lime soda given the fact that they already liked orange soda is 0.50 or 50%.