A fruits basket contains 8 apples, 5 oranges and 2 mangoes. Half of the apples and 3 of the oranges are good and the rest are rotten. David randomly selects two fruits without replacement. By expressing your answers in four decimal places, find the probability that the two fruits selected are (i) (A) of different types, (В) apples if both fruits selected were rotten. (ii) State whether the events "good" and “rotten" fruits are mutually exclusive. Provide a reason for your answer.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A fruits basket contains 8 apples, 5 oranges and 2 mangoes. Half of the apples
and 3 of the oranges are good and the rest are rotten. David randomly selects
two fruits without replacement.
(i)
By expressing your answers in four decimal places, find the probability
that the two fruits selected are
(A)
of different types,
(В)
apples if both fruits selected were rotten.
(ii)
State whether the events "good" and "rotten" fruits are mutually
exclusive. Provide a reason for your answer.
Transcribed Image Text:A fruits basket contains 8 apples, 5 oranges and 2 mangoes. Half of the apples and 3 of the oranges are good and the rest are rotten. David randomly selects two fruits without replacement. (i) By expressing your answers in four decimal places, find the probability that the two fruits selected are (A) of different types, (В) apples if both fruits selected were rotten. (ii) State whether the events "good" and "rotten" fruits are mutually exclusive. Provide a reason for your answer.
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