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Straight Lines

Question
CBSEENMA11014648

Three coins are tossed (or one coin is tossed thrice). The following events are described:

A : Getting atleast one head.

B : Getting atmost one head. Write the sets representing the following events:

(a) A ∪ B (b) A ∩ B (c) A - B

(d) A' - B.

Which of the events is a sure event and which one is impossible event ?

Solution

Solution not provided.
Ans. (a) A ∪ B = S      (b) A ∩ B = {TTH, THT, HTT}
       (c) A - B = {HHH, HHT, HTH, THH}
       (d) A' - B = straight ϕ
Sure event: A ∪ B 
Impossible event: A' - B