A man has three identical jewellery boxes, each with twó identical drawers. The first box contains a gold watch in each of its drawers; the second box contains a silver watch in each of its drawers whereas the third box contains a gold watch in one drawer and a silver watch in another drawer. The man randomly selects a box and picks up the watch from a randomly selected drawer. Draw a tree diagram and label the corresponding probability to illustrate the situation. (1i) (ii) Given that he picked up a silver watch from a randomly selected drawer of a randomly selected box. Find the probability that there is a gold watch in another drawer of the box. (0)

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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A man has three identical jewellery boxes, each with twó identical drawers.
The first box contains a gold watch in each of its drawers; the second box
contains a silver watch in each of its drawers whereas the third box contains a
gold watch in one drawer and a silver watch in another drawer. The man
randomly selects a box and picks up the watch from a randomly selected
drawer.
Draw a tree diagram and label the corresponding probability to
illustrate the situation.
(i)
Given that he picked up a silver watch from a randomly selected
(ii)
drawer of a randomly selected box. Find the probability that there is a
gold watch in another drawer of the box.
Transcribed Image Text:A man has three identical jewellery boxes, each with twó identical drawers. The first box contains a gold watch in each of its drawers; the second box contains a silver watch in each of its drawers whereas the third box contains a gold watch in one drawer and a silver watch in another drawer. The man randomly selects a box and picks up the watch from a randomly selected drawer. Draw a tree diagram and label the corresponding probability to illustrate the situation. (i) Given that he picked up a silver watch from a randomly selected (ii) drawer of a randomly selected box. Find the probability that there is a gold watch in another drawer of the box.
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