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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 solve the problem, we need to find the probabilities of drawing red and white balls from a bag containing 5 red and 9 white balls.
Step 1: Total Number of Balls
- Total balls = Red balls + White balls
- Total balls = 5 + 9 = 14
Step 2: Finding the 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
Step 3: Calculating pq
- Now, we can calculate pq:
pq = p * q = (5/14) * (9/14) = 45 / 196
Step 4: Finding 1 - pq
- Next, we calculate 1 - pq:
1 - pq = 1 - (45 / 196) = (196 - 45) / 196 = 151 / 196
Final Results
- Thus, we have:
- Probability of white ball (q) = 9/14
- Probability of red ball (p) = 5/14
- Value of pq = 45/196
- Value of 1 - pq = 151/196
This breakdown helps us understand the probability calculations involving the balls drawn from the bag.
To solve the problem, we need to find the probabilities of drawing red and white balls from a bag containing 5 red and 9 white balls.
Step 1: Total Number of Balls
- Total balls = Red balls + White balls
- Total balls = 5 + 9 = 14
Step 2: Finding the 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
Step 3: Calculating pq
- Now, we can calculate pq:
pq = p * q = (5/14) * (9/14) = 45 / 196
Step 4: Finding 1 - pq
- Next, we calculate 1 - pq:
1 - pq = 1 - (45 / 196) = (196 - 45) / 196 = 151 / 196
Final Results
- Thus, we have:
- Probability of white ball (q) = 9/14
- Probability of red ball (p) = 5/14
- Value of pq = 45/196
- Value of 1 - pq = 151/196
This breakdown helps us understand the probability calculations involving the balls drawn from the bag.
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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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