Question 39 of 55intermediate🔧 ApplyShort Answer2 marks

If E and F are events such that P(E) = 1/4, P(F) = 1/2 and P(E and F) = 1/8, find (i) P(E or F), (ii) P(not E and not F).

(i)
Answer

5/8

(ii)
Answer

3/8

Explanation

This question tests the application of addition theorem of probability and De Morgan's law. For part (i), students apply P(E or F) = P(E) + P(F) - P(E and F). For part (ii), students must recognize that 'not E and not F' is the complement of 'E or F', so P(not E and not F) = 1 - P(E or F).

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