According to a certain news poll, 67% agreed that it should be the government\'s

Question

According to a certain news poll, 67% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 49% agreed that it would be a good idea to invest part of their Social Security taxes on their own. If agreement with one of these propositions is independent of agreement with the other, what is the probability that a person agreed with both propositions? (Round your answer to two decimal places. According to a certain news poll, 67% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 49% agreed that it would be a good idea to invest part of their Social Security taxes on their own. If agreement with one of these propositions is independent of agreement with the other, what is the probability that a person agreed with both propositions? (Round your answer to two decimal places.

Explanation / Answer

Since they are independent, we just multiply their individual probabilities

P(Probability that a person agreed with both propositions) = 0.67*0.49 = 0.33

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