School mascots


Suppose a student poll is taken across three classrooms to decide on a new school mascot. In classroom A, 50% of students support a penguin mascot, in classroom B, 60% of the students support the penguin mascot, and in classroom C, 35% of the students support the penguin mascot.

Of the total population of the three classrooms, 40% are members of classroom A, 25% are members of classroom B, and 35% are members of classroom C.

Given that a student supports the penguin mascot, what is the probability that they are a member of classroom B?


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