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A bag contains 5 red and 9 white balls. One ball is drawn at random from the bag. If the probability of getting white ball is q and getting red ball is p. Find pq /1-pq?
A bag contains 5 red and 9 white balls. One ball is drawn at random from the bag. If the probability of getting white ball is q and getting red ball is p. Find pq /1-pq?
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Question:A bag contains 5 red and 9 white balls. One ball is drawn at ...
Understanding the Problem
To find the values of p and q, we first need to determine the total number of balls in the bag and the composition of colors.
Total Balls
- Red balls: 5
- White balls: 9
Total number of balls = 5 + 9 = 14
Calculating Probabilities
- Probability of drawing a white ball (q):
- q = Number of white balls / Total number of balls
- q = 9 / 14
- Probability of drawing a red ball (p):
- p = Number of red balls / Total number of balls
- p = 5 / 14
Finding pq
Now, let's calculate the product of p and q.
- pq = (5/14) * (9/14) = 45 / 196
Finding 1 - pq
Next, we need to calculate 1 - pq.
- 1 - pq = 1 - (45/196) = (196 - 45) / 196 = 151 / 196
Calculating Final Expression
We need to find pq / (1 - pq):
- pq / (1 - pq) = (45 / 196) / (151 / 196) = 45 / 151
Final Result
- The final value of pq / (1 - pq) is 45 / 151.
This step-by-step breakdown helps in understanding the process of calculating probabilities and using them in mathematical expressions.
To find the values of p and q, we first need to determine the total number of balls in the bag and the composition of colors.
Total Balls
- Red balls: 5
- White balls: 9
Total number of balls = 5 + 9 = 14
Calculating Probabilities
- Probability of drawing a white ball (q):
- q = Number of white balls / Total number of balls
- q = 9 / 14
- Probability of drawing a red ball (p):
- p = Number of red balls / Total number of balls
- p = 5 / 14
Finding pq
Now, let's calculate the product of p and q.
- pq = (5/14) * (9/14) = 45 / 196
Finding 1 - pq
Next, we need to calculate 1 - pq.
- 1 - pq = 1 - (45/196) = (196 - 45) / 196 = 151 / 196
Calculating Final Expression
We need to find pq / (1 - pq):
- pq / (1 - pq) = (45 / 196) / (151 / 196) = 45 / 151
Final Result
- The final value of pq / (1 - pq) is 45 / 151.
This step-by-step breakdown helps in understanding the process of calculating probabilities and using them in mathematical expressions.
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Question:A bag contains 5 red and 9 white balls. One ball is drawn at random from the bag. If the probability of getting white ball is q and getting red ball is p. Find pq /1-pq?
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Question:A bag contains 5 red and 9 white balls. One ball is drawn at random from the bag. If the probability of getting white ball is q and getting red ball is p. Find pq /1-pq? 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 Question:A bag contains 5 red and 9 white balls. One ball is drawn at random from the bag. If the probability of getting white ball is q and getting red ball is p. Find pq /1-pq? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Question:A bag contains 5 red and 9 white balls. One ball is drawn at random from the bag. If the probability of getting white ball is q and getting red ball is p. Find pq /1-pq?.
Question:A bag contains 5 red and 9 white balls. One ball is drawn at random from the bag. If the probability of getting white ball is q and getting red ball is p. Find pq /1-pq? 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 Question:A bag contains 5 red and 9 white balls. One ball is drawn at random from the bag. If the probability of getting white ball is q and getting red ball is p. Find pq /1-pq? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Question:A bag contains 5 red and 9 white balls. One ball is drawn at random from the bag. If the probability of getting white ball is q and getting red ball is p. Find pq /1-pq?.
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