A natural number is selected at random from the first 100 natural numbers. Let \( A, B \) and \(....

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A natural number is selected at random from the first 100 natural numbers. Let \( A, B \) and \( C \) denote the events
P
of selection of even number, a multiple of 3 and a
W
multiple of 5 , respectively. Then
(1) \( \quad P(A \cap B)=\frac{4}{25} \)
(2) \( \quad P(B \cap C)=\frac{3}{50} \)
(3) \( \quad P(C \cap A)=\frac{1}{10} \)
(4) \( P(A \cup B \cup C)=\frac{37}{50} \)


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