Mathematics, 27.07.2019 00:00 sophie2001sophie

The probability of drawing a heart from a standard deck of 52 playing cards is 1 4 . the probability of drawing a face card from a standard deck of 52 playing cards is 3 13 . based on this, drew determines that the probability of drawing a heart face card is 3 52 . is this correct? a) yes, drawing a heart and drawing a face card are independent events, so p(h ∩ f) = p(h)·p(f) = 1 4 · 3 13 = 3 52 . b) no, drawing a heart and drawing a face card are independent events, so p(h u f) = p(h) + p(f) = 1 4 + 3 13 = 25 52 . c) no, drawing a heart and drawing a face card are independent events, so p(h u f) = p(h) + p(f) - p(h ∩ f) = 1 4 + 3 13 - 3 52 = 11 26 . d) no, drawing a heart and drawing a face card are dependent events, so the p(h ∩ f) = p(h)·p(f|h) = 1 4 · 3 52 + 1 4 · 2 51 = 5 204 .

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