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A bag contains 3 red balls and 8 blacks ball and another bag contains 5 red balls and 7 blacks balls, one ball is drawn at random from either of the bag, find the probability that the ball is red.?
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A bag contains 3 red balls and 8 blacks ball and another bag contains ...
To find the probability that the ball drawn at random is red, you need to consider the total number of balls in each bag and the number of red balls in each bag.
The total number of balls in the first bag is 3 red balls + 8 black balls = 11 balls. The probability of drawing a red ball from this bag is 3 red balls / 11 balls = 3/11.
The total number of balls in the second bag is 5 red balls + 7 black balls = 12 balls. The probability of drawing a red ball from this bag is 5 red balls / 12 balls = 5/12.
To find the probability of drawing a red ball from either bag, you can add the probabilities together:
P(red ball) = 3/11 + 5/12 = 8/22 + 15/24 = (824 + 1522) / (22*24) = 121/528 = 121/528 = 23/104
Therefore, the probability of drawing a red ball from either bag is approximately 23/104.
This question is part of UPSC exam. View all JEE courses
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A bag contains 3 red balls and 8 blacks ball and another bag contains ...
Probability of Drawing a Red Ball
- Total number of red balls: 3 (from first bag) + 5 (from second bag) = 8
- Total number of balls: 3 (from first bag) + 8 (from first bag) + 5 (from second bag) + 7 (from second bag) = 23
Probability Calculation
- Probability of drawing a red ball from the first bag: Number of red balls in the first bag / Total number of balls in the first bag = 3/11
- Probability of drawing a red ball from the second bag: Number of red balls in the second bag / Total number of balls in the second bag = 5/12
Total Probability
- Total probability of drawing a red ball: Probability of drawing a red ball from the first bag + Probability of drawing a red ball from the second bag
- Total probability = (3/11) + (5/12) = 36/132 + 55/132 = 91/132 ≈ 0.6894
Therefore, the probability of drawing a red ball from either of the bags is approximately 0.6894 or 68.94%.
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A bag contains 3 red balls and 8 blacks ball and another bag contains 5 red balls and 7 blacks balls, one ball is drawn at random from either of the bag, find the probability that the ball is red.?
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A bag contains 3 red balls and 8 blacks ball and another bag contains 5 red balls and 7 blacks balls, one ball is drawn at random from either of the bag, find the probability that the ball is red.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A bag contains 3 red balls and 8 blacks ball and another bag contains 5 red balls and 7 blacks balls, one ball is drawn at random from either of the bag, find the probability that the ball is red.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 3 red balls and 8 blacks ball and another bag contains 5 red balls and 7 blacks balls, one ball is drawn at random from either of the bag, find the probability that the ball is red.?.
A bag contains 3 red balls and 8 blacks ball and another bag contains 5 red balls and 7 blacks balls, one ball is drawn at random from either of the bag, find the probability that the ball is red.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A bag contains 3 red balls and 8 blacks ball and another bag contains 5 red balls and 7 blacks balls, one ball is drawn at random from either of the bag, find the probability that the ball is red.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 3 red balls and 8 blacks ball and another bag contains 5 red balls and 7 blacks balls, one ball is drawn at random from either of the bag, find the probability that the ball is red.?.
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