The probability that Aman passes Engineering Mathematics is U.962, and the probability that he passes Differential Equations 0.873. If the probability of Fassing both subjects is 0.789, what is the probability that Aman will (a) pass at least one of these subjects? (b) neither pass Engineering Mathematics nor Differential Equations? Before going out of her house, Sarah filled up her bag with 3 oranges, 4 annles, and 5 pears. At the bus stop, she ate two fruit.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The probability that Aman passes Engineering Mathematics is 0.962, and the
probability that he passes Differential Equations 0.873. If the probability of
passing both subjects is 0.789, what is the probability that Aman will
(a)
pass at least one of these subjects?
(b)
neither pass Engineering Mathematics nor Differential Equations?
Before going out of her house, Sarah filled up her bag with 3 oranges, 4
apples, and 5 pears. At the bus stop, she ate two fruit.
(a)
Draw the tree diagram.
(b)
Find the probability that
(i)
exactly one apple was eaten.
(ii)
both fruit are the same.
Transcribed Image Text:The probability that Aman passes Engineering Mathematics is 0.962, and the probability that he passes Differential Equations 0.873. If the probability of passing both subjects is 0.789, what is the probability that Aman will (a) pass at least one of these subjects? (b) neither pass Engineering Mathematics nor Differential Equations? Before going out of her house, Sarah filled up her bag with 3 oranges, 4 apples, and 5 pears. At the bus stop, she ate two fruit. (a) Draw the tree diagram. (b) Find the probability that (i) exactly one apple was eaten. (ii) both fruit are the same.
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