| A: No head appears |
| B: Exactly one head appears |
| C: At least two heads appear |
| Which one of the following is correct? |
A) \[(A\cup B)\cap (A\cup C)=B\cup C\]
B) \[(A\cap B')\cup (A\cap C')=B'\cup C'\]
C) \[A\cap (B'\cup C')=A\cup B\cup C\]
D) \[A\cap (B'\cup C')=B'\cap C'\]
Correct Answer: D
Solution :
[d] \[U=\{(HHH)(HHT)(HTH)(HTT)\] \[(THH)(THT)(TTH)(TTT)\}\] \[A=\{(TTT)\}\] \[B=\{(HTT)(THT)(TTH)\}\] \[C=\{(HHH)(HHT)(HTH)(THH)\}\] By checking the options \[(d)A\cap (B'\cup C')=B'\cap C'\] is correct.
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