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There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B
does not contain any marble. Randomly three marbles are selected one by one without
replacement from basket A and put it in the basket B. After that one marble is selected from
each basket then find the probability of selected marble from basket A is red coloured.?
does not contain any marble. Randomly three marbles are selected one by one without
replacement from basket A and put it in the basket B. After that one marble is selected from
each basket then find the probability of selected marble from basket A is red coloured.?
Most Upvoted Answer
There are two baskets A and B. Basket A contains 4 red and 4 blue marb...
Problem:
There are two baskets, A and B. Basket A contains 4 red and 4 blue marbles, while Basket B does not contain any marbles. Three marbles are randomly selected without replacement from Basket A and placed in Basket B. One marble is then selected from each basket. What is the probability of selecting a red marble from Basket A?
Solution:
Step 1: Understanding the Problem
To solve this problem, we need to calculate the probability of selecting a red marble from Basket A after three marbles have been transferred to Basket B.
Step 2: Analyzing the Situation
Let's analyze the situation before and after the marbles are transferred to Basket B:
Before the Transfer:
- Basket A contains 4 red and 4 blue marbles.
- Basket B is empty.
After the Transfer:
- Basket A contains 1 red and 1 blue marble.
- Basket B contains 3 marbles (2 red and 1 blue).
Step 3: Calculating the Probability
To calculate the probability of selecting a red marble from Basket A, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total Number of Possible Outcomes:
Before the transfer, the total number of possible outcomes is the number of ways we can select 3 marbles from Basket A without replacement. This can be calculated using the combination formula:
C(8, 3) = 8! / (3! * (8-3)!) = 56
After the transfer, the total number of possible outcomes is the number of ways we can select 1 marble from each basket. Since Basket A has 2 marbles (1 red and 1 blue) and Basket B has 3 marbles (2 red and 1 blue), the total number of possible outcomes can be calculated as:
2 * 3 = 6
Number of Favorable Outcomes:
The number of favorable outcomes is the number of ways we can select a red marble from Basket A. After the transfer, Basket A contains 1 red marble and 1 blue marble. Therefore, the number of favorable outcomes is 1.
Step 4: Calculating the Probability
The probability of selecting a red marble from Basket A can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 1 / 6
Probability = 1/6 = 0.1667 (rounded to four decimal places)
Step 5: Conclusion
The probability of selecting a red marble from Basket A, after three marbles have been transferred to Basket B, is approximately 0.1667 or 16.67%.
There are two baskets, A and B. Basket A contains 4 red and 4 blue marbles, while Basket B does not contain any marbles. Three marbles are randomly selected without replacement from Basket A and placed in Basket B. One marble is then selected from each basket. What is the probability of selecting a red marble from Basket A?
Solution:
Step 1: Understanding the Problem
To solve this problem, we need to calculate the probability of selecting a red marble from Basket A after three marbles have been transferred to Basket B.
Step 2: Analyzing the Situation
Let's analyze the situation before and after the marbles are transferred to Basket B:
Before the Transfer:
- Basket A contains 4 red and 4 blue marbles.
- Basket B is empty.
After the Transfer:
- Basket A contains 1 red and 1 blue marble.
- Basket B contains 3 marbles (2 red and 1 blue).
Step 3: Calculating the Probability
To calculate the probability of selecting a red marble from Basket A, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total Number of Possible Outcomes:
Before the transfer, the total number of possible outcomes is the number of ways we can select 3 marbles from Basket A without replacement. This can be calculated using the combination formula:
C(8, 3) = 8! / (3! * (8-3)!) = 56
After the transfer, the total number of possible outcomes is the number of ways we can select 1 marble from each basket. Since Basket A has 2 marbles (1 red and 1 blue) and Basket B has 3 marbles (2 red and 1 blue), the total number of possible outcomes can be calculated as:
2 * 3 = 6
Number of Favorable Outcomes:
The number of favorable outcomes is the number of ways we can select a red marble from Basket A. After the transfer, Basket A contains 1 red marble and 1 blue marble. Therefore, the number of favorable outcomes is 1.
Step 4: Calculating the Probability
The probability of selecting a red marble from Basket A can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 1 / 6
Probability = 1/6 = 0.1667 (rounded to four decimal places)
Step 5: Conclusion
The probability of selecting a red marble from Basket A, after three marbles have been transferred to Basket B, is approximately 0.1667 or 16.67%.
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There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B does not contain any marble. Randomly three marbles are selected one by one without replacement from basket A and put it in the basket B. After that one marble is selected from each basket then find the probability of selected marble from basket A is red coloured.?
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There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B does not contain any marble. Randomly three marbles are selected one by one without replacement from basket A and put it in the basket B. After that one marble is selected from each basket then find the probability of selected marble from basket A is red coloured.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B does not contain any marble. Randomly three marbles are selected one by one without replacement from basket A and put it in the basket B. After that one marble is selected from each basket then find the probability of selected marble from basket A is red coloured.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B does not contain any marble. Randomly three marbles are selected one by one without replacement from basket A and put it in the basket B. After that one marble is selected from each basket then find the probability of selected marble from basket A is red coloured.?.
There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B does not contain any marble. Randomly three marbles are selected one by one without replacement from basket A and put it in the basket B. After that one marble is selected from each basket then find the probability of selected marble from basket A is red coloured.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B does not contain any marble. Randomly three marbles are selected one by one without replacement from basket A and put it in the basket B. After that one marble is selected from each basket then find the probability of selected marble from basket A is red coloured.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B does not contain any marble. Randomly three marbles are selected one by one without replacement from basket A and put it in the basket B. After that one marble is selected from each basket then find the probability of selected marble from basket A is red coloured.?.
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There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B does not contain any marble. Randomly three marbles are selected one by one without replacement from basket A and put it in the basket B. After that one marble is selected from each basket then find the probability of selected marble from basket A is red coloured.?, a detailed solution for There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B does not contain any marble. Randomly three marbles are selected one by one without replacement from basket A and put it in the basket B. After that one marble is selected from each basket then find the probability of selected marble from basket A is red coloured.? has been provided alongside types of There are two baskets A and B. Basket A contains 4 red and 4 blue marbles while Basket B does not contain any marble. Randomly three marbles are selected one by one without replacement from basket A and put it in the basket B. After that one marble is selected from each basket then find the probability of selected marble from basket A is red coloured.? theory, EduRev gives you an
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