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Suppose that 14% of all children in a given city are left-handed and 8% have red hair. Assuming that being left-handed and being red-haired are

Suppose that 14% of all children in a given city are left-handed and 8% have red hair. Assuming that being left-handed and being red-haired are probabilistically independent events (which seems reasonable), which of the following is true of a randomly chosen child C?

a. P(C is left-handed | C doesn't have red hair) = 0.14
b. P(C is right-handed | C has red hair) = 0.86
c. P(C is right-handed and C doesn't have red hair) = 0.86 * 0.92

d. All of these choices are true.

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