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A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn it is not replaced. If an orange ball is drawn it is replaced with another orange ball. First ball is drawn. What is the probability of getting an orange ball in the next drawn ?
- a)23/50
- b)19/50
- c)8/25
- d)1/2
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A box contains five balls of same size and shape. Three of them are gr...
In this we have two different cases
Case 1: 1 green and 1 orange ball
As we can’t replace ball after getting green ball, so when we are drawing orange ball at that time we are left with only 4 balls in a box
Case 2: 1 orange and 1 orange ball
As with orange ball we can replace, so when we are drawing second orange ball at that time we have 5 balls in of box P (getting an orange ball in the next drawn) = P (case 1 + case 2)
Case 1: 1 green and 1 orange ball
As we can’t replace ball after getting green ball, so when we are drawing orange ball at that time we are left with only 4 balls in a box
Case 2: 1 orange and 1 orange ball
As with orange ball we can replace, so when we are drawing second orange ball at that time we have 5 balls in of box P (getting an orange ball in the next drawn) = P (case 1 + case 2)
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A box contains five balls of same size and shape. Three of them are gr...
Problem Analysis:
We have a box containing 5 balls - 3 green balls and 2 orange balls. We need to find the probability of drawing an orange ball in the next draw.
Solution:
Let's analyze the different scenarios and calculate the probability for each one.
Scenario 1:
In the first draw, we get a green ball. After removing the green ball, we are left with 2 green balls and 2 orange balls in the box.
The probability of getting an orange ball in the next draw is given by:
P(Orange on 2nd draw | Green on 1st draw) = (Number of orange balls / Total number of balls) = 2/4 = 1/2
Scenario 2:
In the first draw, we get an orange ball. After replacing the orange ball, we still have 3 green balls and 2 orange balls in the box.
The probability of getting an orange ball in the next draw is given by:
P(Orange on 2nd draw | Orange on 1st draw) = (Number of orange balls / Total number of balls) = 2/5
Calculating the overall probability:
Now, we need to calculate the overall probability by considering both scenarios.
The probability of getting an orange ball in the next draw is given by:
P(Orange on 2nd draw) = P(Orange on 2nd draw | Green on 1st draw) * P(Green on 1st draw) + P(Orange on 2nd draw | Orange on 1st draw) * P(Orange on 1st draw)
P(Orange on 2nd draw) = (1/2) * (3/5) + (2/5) * (2/5)
P(Orange on 2nd draw) = 3/10 + 4/25
P(Orange on 2nd draw) = 15/50 + 8/50
P(Orange on 2nd draw) = 23/50
Therefore, the probability of getting an orange ball in the next draw is 23/50, which is option A.
We have a box containing 5 balls - 3 green balls and 2 orange balls. We need to find the probability of drawing an orange ball in the next draw.
Solution:
Let's analyze the different scenarios and calculate the probability for each one.
Scenario 1:
In the first draw, we get a green ball. After removing the green ball, we are left with 2 green balls and 2 orange balls in the box.
The probability of getting an orange ball in the next draw is given by:
P(Orange on 2nd draw | Green on 1st draw) = (Number of orange balls / Total number of balls) = 2/4 = 1/2
Scenario 2:
In the first draw, we get an orange ball. After replacing the orange ball, we still have 3 green balls and 2 orange balls in the box.
The probability of getting an orange ball in the next draw is given by:
P(Orange on 2nd draw | Orange on 1st draw) = (Number of orange balls / Total number of balls) = 2/5
Calculating the overall probability:
Now, we need to calculate the overall probability by considering both scenarios.
The probability of getting an orange ball in the next draw is given by:
P(Orange on 2nd draw) = P(Orange on 2nd draw | Green on 1st draw) * P(Green on 1st draw) + P(Orange on 2nd draw | Orange on 1st draw) * P(Orange on 1st draw)
P(Orange on 2nd draw) = (1/2) * (3/5) + (2/5) * (2/5)
P(Orange on 2nd draw) = 3/10 + 4/25
P(Orange on 2nd draw) = 15/50 + 8/50
P(Orange on 2nd draw) = 23/50
Therefore, the probability of getting an orange ball in the next draw is 23/50, which is option A.
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A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn it is not replaced. If an orange ball is drawn it is replaced with another orange ball. First ball is drawn. What is the probability of getting an orange ball in the next drawn ?a)23/50b)19/50c)8/25d)1/2Correct answer is option 'A'. Can you explain this answer?
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A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn it is not replaced. If an orange ball is drawn it is replaced with another orange ball. First ball is drawn. What is the probability of getting an orange ball in the next drawn ?a)23/50b)19/50c)8/25d)1/2Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn it is not replaced. If an orange ball is drawn it is replaced with another orange ball. First ball is drawn. What is the probability of getting an orange ball in the next drawn ?a)23/50b)19/50c)8/25d)1/2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn it is not replaced. If an orange ball is drawn it is replaced with another orange ball. First ball is drawn. What is the probability of getting an orange ball in the next drawn ?a)23/50b)19/50c)8/25d)1/2Correct answer is option 'A'. Can you explain this answer?.
A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn it is not replaced. If an orange ball is drawn it is replaced with another orange ball. First ball is drawn. What is the probability of getting an orange ball in the next drawn ?a)23/50b)19/50c)8/25d)1/2Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn it is not replaced. If an orange ball is drawn it is replaced with another orange ball. First ball is drawn. What is the probability of getting an orange ball in the next drawn ?a)23/50b)19/50c)8/25d)1/2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn it is not replaced. If an orange ball is drawn it is replaced with another orange ball. First ball is drawn. What is the probability of getting an orange ball in the next drawn ?a)23/50b)19/50c)8/25d)1/2Correct answer is option 'A'. Can you explain this answer?.
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