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Out of 128 families with 4 children each, how many are expected to have at least one boy and one girl?
- a)100
- b)105
- c)108
- d)112
Correct answer is option 'D'. Can you explain this answer?
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Out of 128 families with 4 children each, how many are expected to hav...
Solution:
We can use the concept of probability to solve this problem.
Total number of families = 128
Number of children in each family = 4
Total number of children = 128 × 4 = 512
Let's consider the probability of having at least one boy and one girl in a family.
Probability of having at least one boy and one girl = 1 - probability of having all boys or all girls
Probability of having all boys = 1/2 × 1/2 × 1/2 × 1/2 = 1/16
Probability of having all girls = 1/2 × 1/2 × 1/2 × 1/2 = 1/16
Probability of having at least one boy and one girl = 1 - 1/16 - 1/16 = 14/16 = 7/8
Therefore, the expected number of families with at least one boy and one girl = Probability of having at least one boy and one girl × Total number of families
= (7/8) × 128 = 112
Therefore, option (d) is the correct answer.
We can use the concept of probability to solve this problem.
Total number of families = 128
Number of children in each family = 4
Total number of children = 128 × 4 = 512
Let's consider the probability of having at least one boy and one girl in a family.
Probability of having at least one boy and one girl = 1 - probability of having all boys or all girls
Probability of having all boys = 1/2 × 1/2 × 1/2 × 1/2 = 1/16
Probability of having all girls = 1/2 × 1/2 × 1/2 × 1/2 = 1/16
Probability of having at least one boy and one girl = 1 - 1/16 - 1/16 = 14/16 = 7/8
Therefore, the expected number of families with at least one boy and one girl = Probability of having at least one boy and one girl × Total number of families
= (7/8) × 128 = 112
Therefore, option (d) is the correct answer.
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Out of 128 families with 4 children each, how many are expected to have at least one boy and one girl?a)100b)105c)108d)112Correct answer is option 'D'. Can you explain this answer?
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Out of 128 families with 4 children each, how many are expected to have at least one boy and one girl?a)100b)105c)108d)112Correct 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 Out of 128 families with 4 children each, how many are expected to have at least one boy and one girl?a)100b)105c)108d)112Correct 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 Out of 128 families with 4 children each, how many are expected to have at least one boy and one girl?a)100b)105c)108d)112Correct answer is option 'D'. Can you explain this answer?.
Out of 128 families with 4 children each, how many are expected to have at least one boy and one girl?a)100b)105c)108d)112Correct 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 Out of 128 families with 4 children each, how many are expected to have at least one boy and one girl?a)100b)105c)108d)112Correct 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 Out of 128 families with 4 children each, how many are expected to have at least one boy and one girl?a)100b)105c)108d)112Correct answer is option 'D'. Can you explain this answer?.
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