Suppose that a marketing firm sends questionnaires to two different companies. Based on historical evidence, the marketing research firm believes that each company, independently of the other, will return the questionnaire with a probability of 0.30. What is the probability that both questionnaires will be returned?
To find the probability that both questionnaires will be returned, we can multiply the probabilities of each company returning the questionnaire independently.
Given that each company has a probability of 0.30 to return the questionnaire, we can calculate the probability as follows:
P(Both questionnaires returned) = P(Company A returns) * P(Company B returns)
P(Both questionnaires returned) = 0.30 * 0.30
P(Both questionnaires returned) = 0.09
Therefore, the probability that both questionnaires will be returned is 0.09, or 9%.
To find the probability that both questionnaires will be returned, we can use the concept of independent events.
In this case, the probability of one company returning the questionnaire is 0.30. Since the two companies are independent of each other, we can multiply the probabilities of each event happening:
P(both questionnaires returned) = P(first company returns) * P(second company returns)
P(both questionnaires returned) = 0.30 * 0.30
P(both questionnaires returned) = 0.09
Therefore, the probability that both questionnaires will be returned is 0.09, or 9%.