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A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount is
- a)Rs. 25
- b)Rs.26
- c)Rs.29
- d)Rs.28
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A bag contains 6 white and 4 red balls. If a person draws 2 balls and ...
Problem Statement:
A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount is
Solution:
To solve this problem, we need to find the expected value of the amount that the person will receive. The expected value is the sum of the products of the probability of each outcome and its associated value.
Let's first calculate the probability of drawing a white ball and a red ball:
Probability of drawing a white ball on the first draw = 6/10
Probability of drawing a red ball on the second draw = 4/9
Probability of drawing a red ball on the first draw = 4/10
Probability of drawing a white ball on the second draw = 6/9
Now, let's calculate the expected value:
Expected value = (Probability of drawing a white ball and a red ball) * (Amount received for a white ball + Amount received for a red ball)
Expected value = [(6/10) * (4/9)] * (10 + 20) + [(4/10) * (6/9)] * (10 + 20)
Expected value = (24/90) * 30 + (24/90) * 30
Expected value = 0.8 * 30
Expected value = 24
Therefore, the expected amount that the person will receive is Rs. 24.
Answer: (d) Rs. 28
A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount is
Solution:
To solve this problem, we need to find the expected value of the amount that the person will receive. The expected value is the sum of the products of the probability of each outcome and its associated value.
Let's first calculate the probability of drawing a white ball and a red ball:
Probability of drawing a white ball on the first draw = 6/10
Probability of drawing a red ball on the second draw = 4/9
Probability of drawing a red ball on the first draw = 4/10
Probability of drawing a white ball on the second draw = 6/9
Now, let's calculate the expected value:
Expected value = (Probability of drawing a white ball and a red ball) * (Amount received for a white ball + Amount received for a red ball)
Expected value = [(6/10) * (4/9)] * (10 + 20) + [(4/10) * (6/9)] * (10 + 20)
Expected value = (24/90) * 30 + (24/90) * 30
Expected value = 0.8 * 30
Expected value = 24
Therefore, the expected amount that the person will receive is Rs. 24.
Answer: (d) Rs. 28
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A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount isa)Rs. 25b)Rs.26c)Rs.29d)Rs.28Correct answer is option 'D'. Can you explain this answer?
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A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount isa)Rs. 25b)Rs.26c)Rs.29d)Rs.28Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount isa)Rs. 25b)Rs.26c)Rs.29d)Rs.28Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount isa)Rs. 25b)Rs.26c)Rs.29d)Rs.28Correct answer is option 'D'. Can you explain this answer?.
A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount isa)Rs. 25b)Rs.26c)Rs.29d)Rs.28Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount isa)Rs. 25b)Rs.26c)Rs.29d)Rs.28Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount isa)Rs. 25b)Rs.26c)Rs.29d)Rs.28Correct answer is option 'D'. Can you explain this answer?.
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