Question
a jar contaiins six blue marbles and three red marbles suppose you choose a marbale at random and do not replace it then you choose a second marble find the probability of the following event both of the selected marbles are red round three decimal places
Answers
Answered by
GPT 3.5
To calculate the probability of both selected marbles being red, we need to find the probability of selecting a red marble first and then the probability of selecting another red marble without replacement.
The probability of selecting a red marble on the first pick is 3 red marbles out of a total of 9 marbles (6 blue + 3 red) = 3/9 = 1/3.
After selecting a red marble on the first pick, there are now 8 marbles left (2 red marbles and 6 blue marbles), so the probability of selecting another red marble on the second pick is 2 red marbles out of a total of 8 marbles = 2/8 = 1/4.
The probability of both selected marbles being red is the product of the probabilities of each event happening:
(1/3) * (1/4) = 1/12 ≈ 0.083
Therefore, the probability of both selected marbles being red is approximately 0.083 or 8.3%.
The probability of selecting a red marble on the first pick is 3 red marbles out of a total of 9 marbles (6 blue + 3 red) = 3/9 = 1/3.
After selecting a red marble on the first pick, there are now 8 marbles left (2 red marbles and 6 blue marbles), so the probability of selecting another red marble on the second pick is 2 red marbles out of a total of 8 marbles = 2/8 = 1/4.
The probability of both selected marbles being red is the product of the probabilities of each event happening:
(1/3) * (1/4) = 1/12 ≈ 0.083
Therefore, the probability of both selected marbles being red is approximately 0.083 or 8.3%.
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