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Show that P(X∩Y)+P(X∩Y′)=P(X) for any events X and Y.
Julia randomly selects a marble from a bag of numbered and colored marbles. The probability that the marble
displays an even number is 0.6,
is red is 0.3,
displays an odd number or is red is 0.4.
Using the identity in (a), find the probability that the marble displays an odd number and is not red.
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