单选题

In the mid 1980s J.J.Ellerson and the Boys was a famous regional blues band.In the late 1980s, J.J.embarked on a solo career and the rest of the band gradually folded.Now, the band is Considering a reunion concert and may even reunite.K.Scotty, a die-hard fan and CFA, feels that the following probabilities are correct: The probability that the reunion concert will occur whether or not the band reunites is 0.60. The probability that the band will get back together is 0.30. The probability that the band will get back together if the reunion concert occurs is 0.65.
Which of the following statements is TRUE?(     )

【正确答案】 C
【答案解析】

Given two events, the independent event is the event where knowledge of one event has no influence on the other.Here, we are given that the probability of the reunion concert is not dependent upon whether or not the band reunites. The other statements are false.The probability of the band reuniting is a dependent event because it is influenced by the probability of the reunion concert.The given probability for a reunion concert is a subjective probability.An a priori probability is calculated using formal reasoning and inspection.For example, assume that 100 oft,he stocks in the S&P 500 index decreased in price yesterday.If you select a stock at random, the chance that the stock will have decreased in price is 100/500, or 20%. A subjective probability is less formal and involves personal judgement.The probability that the band will get back together if the reunion concert does not occur is a conditional probability.A conditional probability is a probability for which knowledge of another event is important.Here, the knowledge about the reunion tour is important to the probability of the band reuniting, Marginal probability is another term for unconditional probability.