Twenty percent of Bs phone calls are with her daughter. Sixty five percent of the time that

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Twenty percent of B’s phone calls are with her daughter. Sixty five percent of the time that B speaks with her daughter she hangs up the phone with a smile on her face. Given that B has just hung up the phone with a smile on her face, we are interested in the conditional probability that the phone call was with her daughter. Do we have enough information to determine this probability. If yes, what is it; if no, what additional information is needed.

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