100 students took part in ice cream testing survey and the following results were recorded. 86 liked ice cream A, 89 liked ice cream B and 90 liked ice cream C. 83 likes ice cream A and B, 85 likes ice cream B and C and 81 likes ice cream Aand C. 80 likes all three ice creams. Hence find the Probability of the students who likesa) None of the three ice creams. b) Ice cream A but not B. c) Any ice cream except C.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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100 students took part in ice cream testing survey and the following results
were recorded.
86 liked ice cream A, 89 liked ice cream B and 90 liked ice cream C. 83
likes ice cream A and B, 85 likes ice cream B and C and 81 likes ice cream
Aand C.
80 likes all three ice creams.
Hence find the Probability of the students who likesa) None of the three ice creams.
b) Ice cream A but not B.
c) Any ice cream except C.
d) Exactly two of the three ice creams.
B) Simplify the following expression-
(1)  +++  Y'Z' W'X'Y'Z'  YZ' 

 

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d) Exactly two of the three ice creams.

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