Concept explainers
Let A and B be any two
(a) the complement of their intersection is the union of their complements:
(b) the complement of their union is the intersection of their complements:
(These two results are known as DeMorgan's laws.)
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EBK AN INTRODUCTION TO MATHEMATICAL STA
- Let E and F be events in a sample space S. (a) The probability of E and F occurring is P(EF)= ______________. (b) If the occurrence of E does not affect the probability of the occurrence F then the event are called ______________. So in tossing a coin twice, the event E ‘getting heads on the first toss,’ and the event F, “getting heads on the second toss,” are _____________ . (c) If E and F are independent events, then the probability of E and F is P(EF)= _____________.arrow_forwardLet E and F be events in a sample space S. aThe probability of E and F occurring is P(EF)=______________. bIf the occurrence of E does not affect the probability of the occurrence F, then the events are called ____________. So in tossing a coin twice, the event E, getting heads on the first toss, and the event F, getting heads on the second toss, are ____________. cIf E and F are independent events, then the probability of E and F is P(EF)=________.arrow_forwardLet E and F be events in a sample space S. aThe probability of E or F occurring is P(EF)= _________. bIf the events E and F have no outcome in common that is, the intersection of E and F is empty, then the events are called ___________ ____________. So in drawing a card from a deck, the event E, getting a heart, and the event F, getting a spade, are ____________ ___________. cIf E and F are mutually exclusive, then the probability of E or F is P(EF)= _________.arrow_forward
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