Support that P (e) = 0.76, P (F) = 0.45, and P (E and F) = 0.32. What is P (E or F) ?

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Physics

Alex

14 May, 16:54

Support that P (e) = 0.76, P (F) = 0.45, and P (E and F) = 0.32. What is P (E or F) ?

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Marely Byrd · Answer 1

The probability of (E and F) = P (e) times P (f) = 0.76 x 0.45 = 0.342.

The probability of (e OR f) =

1 - P (not e AND not f) =

1 - P (not e) x P (not f) =

1 - (1 - 0.76) x (1 - 0.32) =

1 - (0.24) x (0.68) = 1 - 0.1632 = 0.8368.