Pregunta
A jar contains 7 red marbles, numbered 1 to 7 , and 9 blue marbles numbered 1 to 9 .
a) A marble is chosen at random. If you’re told the marble is blue, what is the probability that it has the
number 2 on it?
b) The first marble is replaced, and another marble is chosen at random. If you’re told the marble has the
number 8 on it, what is the probability the marble is blue?
a) A marble is chosen at random. If you’re told the marble is blue, what is the probability that it has the
number 2 on it?
b) The first marble is replaced, and another marble is chosen at random. If you’re told the marble has the
number 8 on it, what is the probability the marble is blue?
Ask by Joseph Gordon. in the United States
Mar 14,2025
Solución de inteligencia artificial de Upstudy
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a) The probability that a randomly chosen blue marble has the number 2 is
b) The probability that a marble is blue given it has the number 8 is 1.
Solución
a)
There are 9 blue marbles, each uniquely numbered from 1 to 9. Since only one blue marble has the number 2, the probability that a blue marble drawn at random has the number 2 is
There are 9 blue marbles, each uniquely numbered from 1 to 9. Since only one blue marble has the number 2, the probability that a blue marble drawn at random has the number 2 is
b)
The jar contains only blue marbles with numbers 8 (since red marbles are numbered 1 to 7), so if a marble is chosen and it has the number 8, it must be blue. Therefore, the probability that the marble is blue given that it has the number 8 is
The jar contains only blue marbles with numbers 8 (since red marbles are numbered 1 to 7), so if a marble is chosen and it has the number 8, it must be blue. Therefore, the probability that the marble is blue given that it has the number 8 is
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Simplifique esta solución Bonus Knowledge
With 9 blue marbles in total, the probability that a randomly chosen blue marble is numbered 2 is simply the one blue marble (numbered 2) divided by all blue marbles. So, the probability is
When it comes to the second scenario, since the first marble is replaced, and we’re given that the marble has the number 8 on it, we need to consider what marbles are available. Only blue marbles can be numbered 1-9. However, there are no number 8 marbles in either the red (which only go up to 7) or blue marbles (which only have the numbers 1 to 9, no duplicates). Thus, the probability of the marble being blue is actually 0. In short, there’s no blue number 8 marble to pull out of the jar!
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