As a promotional offer, a newly opened movie theatre is awarding 22% of their new patrons with a complimentary dinner, and the rest are given a free drink. To boost their sales of tickets online, they allocated 48% of the complimentary dinners and 53% of the free drinks to tickets that are sold online. a. If a movie-goer purchased their ticket online, what is the probability of them winning a complimentary dinner? Answer in exact fraction, or rounded to at least 4 decimal places b. If a movie-goer did not purchase their ticket online, what is the probability of them winning a free drink? Answer in exact fraction, or rounded to at least 4 decimal places

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