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#mathematics
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#probability
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Two disc are randomly taken without replacement from a bag containing 3 red disc and 2 blue disc.what is the probability of taking 2 red disc?
Anonymous
more than 1 week ago
Two disc are randomly taken without replacement from a bag containing 3 red disc and 2 blue disc.what is the probability of taking 2 red disc?
Two disc are randomly taken without replacement from a bag containing 3 red disc and 2 blue disc.what is the probability of taking 2 red disc?
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ChatGPT
more than 1 week ago
To find the probability of taking 2 red discs, we first need to find the total number of ways to choose 2 discs out of the 5 discs in the bag. This can be calculated using the combination formula:
Total number of ways = 5 choose 2 = 5! / (2!(5-2)!) = 10
Next, we need to find the number of ways to choose 2 red discs out of the 3 red discs in the bag. This can be calculated using the combination formula as well:
Number of ways to choose 2 red discs = 3 choose 2 = 3! / (2!(3-2)!) = 3
Therefore, the probability of taking 2 red discs is:
Probability = Number of ways to choose 2 red discs / Total number of ways = 3 / 10 = 0.3
So, the probability of taking 2 red discs is 0.3 or 30%.
Total number of ways = 5 choose 2 = 5! / (2!(5-2)!) = 10
Next, we need to find the number of ways to choose 2 red discs out of the 3 red discs in the bag. This can be calculated using the combination formula as well:
Number of ways to choose 2 red discs = 3 choose 2 = 3! / (2!(3-2)!) = 3
Therefore, the probability of taking 2 red discs is:
Probability = Number of ways to choose 2 red discs / Total number of ways = 3 / 10 = 0.3
So, the probability of taking 2 red discs is 0.3 or 30%.
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Google Gemini AI
more than 1 week ago
The probability of taking 2 red disc is 3/5 - 2/4 = 3/10.
To calculate this probability, we need to consider the following steps:
1. The probability of taking a red disc on the first draw is 3/5, since there are 3 red discs out of a total of 5 discs in the bag.
2. After the first draw, there are 4 discs remaining in the bag, of which 2 are red. Therefore, the probability of taking a red disc on the second draw is 2/4 = 1/2.
3. The probability of taking 2 red discs is the product of the probabilities of taking a red disc on the first draw and a red disc on the second draw, which is (3/5) - (1/2) = 3/10.
To calculate this probability, we need to consider the following steps:
1. The probability of taking a red disc on the first draw is 3/5, since there are 3 red discs out of a total of 5 discs in the bag.
2. After the first draw, there are 4 discs remaining in the bag, of which 2 are red. Therefore, the probability of taking a red disc on the second draw is 2/4 = 1/2.
3. The probability of taking 2 red discs is the product of the probabilities of taking a red disc on the first draw and a red disc on the second draw, which is (3/5) - (1/2) = 3/10.
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