Q 1(a) Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a blue ball, a green ball, a purple ball, a yellow ball and a pink ball. If you draw a ball at random from each box what is the probability that: (i) the first ball is red the second ball is red given the first ball was red all the balls are the same colour For each of these questions explain your answer i.e., show your reasoning.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Q 1(a)
Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a
blue ball, a green ball, a purple ball, a yellow ball and a pink ball.
you draw a ball at random from each box what is the probability that:
(i)
(ii)
(iii)
the first ball is red
the second ball is red given the first ball was red
all the balls are the same colour
For each of these questions explain your answer i.e., show your reasoning.
Transcribed Image Text:Q 1(a) Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a blue ball, a green ball, a purple ball, a yellow ball and a pink ball. you draw a ball at random from each box what is the probability that: (i) (ii) (iii) the first ball is red the second ball is red given the first ball was red all the balls are the same colour For each of these questions explain your answer i.e., show your reasoning.
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