SOLUTION: In a bag are five counters each of a different colour: green, yellow, red, blue, and purple.
A) If one counter is drawn from the bag and replaced and then a second is selected,
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-> SOLUTION: In a bag are five counters each of a different colour: green, yellow, red, blue, and purple.
A) If one counter is drawn from the bag and replaced and then a second is selected,
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Question 1203518: In a bag are five counters each of a different colour: green, yellow, red, blue, and purple.
A) If one counter is drawn from the bag and replaced and then a second is selected, find the probability that a green counter then a blue counter is selected. That is find p(G,B).
B) If the first counter selected is not replaced before the second is selected, find the probability that a green counter then a blue counter is selected. Answer by math_tutor2020(3817) (Show Source):
1/5 = probability of a green counter = probability of a blue counter
The probability does not change because we put the first one back.
(1/5)*(1/5) = 1/25 is the probability of getting green then blue when replacement is made.
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Part (b)
For this part, 1/5 still represents the probability of getting a green counter on the 1st selection. Then 1/4 is the probability of getting a blue counter because the first selection is not put back or replaced.
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