Assume that P(A) = 3/5, P(B) = 3/10, P(C) = 7/10, P(D) = 4/5, and P(A/B) = 7/10. Assuming that C and D are independent, determine the following probability: P(C ?D)
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?; ?; •; ~; ?; ?; ?; ? ×
P(C ? D) = P(C) + P(D) - P(C • D) = P(C) + P(D) - (P(C) ? P(D)) = 7/10 + 4/5 - (7/10 ? 4/5) = 15/10 - 28/50 = 75/50 - 28/50 = 47/50
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