Asked by Andrew
                There are 3 red balls and 7 blue balls in Bowl A, and 8 red balls and 2 blue balls in Bowl
B. Mandy rolls a die and if a prime number is up, Bowl A is selected; otherwise Bowl B is
selected. Then Katie draws a ball randomly from the selected bowl. Find the probability
of Bowl A being selected given that a red ball is drawn.
            
        B. Mandy rolls a die and if a prime number is up, Bowl A is selected; otherwise Bowl B is
selected. Then Katie draws a ball randomly from the selected bowl. Find the probability
of Bowl A being selected given that a red ball is drawn.
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