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A bag contains 6 red balls and 8 green balls. Two balls are drawn at random one after one with replacement. What is the probability that
Q.
Both the balls are red
- a)14/49
- b)9/49
- c)11/49
- d)12/49
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A bag contains 6 red balls and 8 green balls. Two balls are drawn at r...
P = (6/14)*(6/14)
Most Upvoted Answer
A bag contains 6 red balls and 8 green balls. Two balls are drawn at r...
Solution:
Given,
Total number of balls = 6+8 = 14
Number of red balls = 6
To find the probability of getting two red balls,
Let A be the event of getting a red ball in the first draw.
Let B be the event of getting a red ball in the second draw.
Since the two draws are made with replacement, the probability of getting a red ball in each draw is the same and can be calculated as follows:
P(A) = number of ways of getting a red ball in the first draw/total number of balls
= 6/14
P(B) = number of ways of getting a red ball in the second draw/total number of balls
= 6/14
To find the probability of getting two red balls, we need to find the probability of both A and B occurring.
P(A and B) = P(A) × P(B)
= (6/14) × (6/14)
= 36/196
= 9/49
Therefore, the probability of getting two red balls is 9/49.
Hence, option B is the correct answer.
Given,
Total number of balls = 6+8 = 14
Number of red balls = 6
To find the probability of getting two red balls,
Let A be the event of getting a red ball in the first draw.
Let B be the event of getting a red ball in the second draw.
Since the two draws are made with replacement, the probability of getting a red ball in each draw is the same and can be calculated as follows:
P(A) = number of ways of getting a red ball in the first draw/total number of balls
= 6/14
P(B) = number of ways of getting a red ball in the second draw/total number of balls
= 6/14
To find the probability of getting two red balls, we need to find the probability of both A and B occurring.
P(A and B) = P(A) × P(B)
= (6/14) × (6/14)
= 36/196
= 9/49
Therefore, the probability of getting two red balls is 9/49.
Hence, option B is the correct answer.
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