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Mr.& Mrs X stay in a house along with their 7 children. The female to male ration in the family is 1:2. Find the probability that all the children are either boy or girl.?
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Mr.& Mrs X stay in a house along with their 7 children. The female to ...
The question is asking for the probability that the X family has either all boys or all girls among their 7 children.
The probability of having a boy is 1/3 because there is a 1:2 ratio of female to male in the family. Similarly, the probability of having a girl is 2/3.

To find the probability that the family has either all boys or all girls, we can multiply the probability of having all boys by the probability of having all girls.

The probability of having all boys is (1/3)^7 = 1/2187

The probability of having all girls is (2/3)^7 = 16384/4782969

So, the probability of the family having all boys or all girls is (1/2187) + (16384/4782969) = 0.00035 or 0.035%

Therefore, the probability that all the children are either boy or girl is 0.035%.

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Mr.& Mrs X stay in a house along with their 7 children. The female to ...
Probability of having all children either boys or girls
Probability is the likelihood of a certain event happening. In this case, we are trying to find the probability that all the children in Mr. & Mrs. X's family are either boys or girls.

Gender ratio in the family
- The given female to male ratio in the family is 1:2.
- This means that for every 1 female in the family, there are 2 males.

Total number of children
- Mr. & Mrs. X have 7 children in total.

Possible combinations of gender
- Since the ratio is 1:2, the possible combinations of gender for 7 children are:
- 1 girl and 2 boys (1:2 ratio) x 3 sets = 3 sets
- 2 girls and 4 boys (1:2 ratio) x 2 sets = 2 sets
- 3 girls and 6 boys (1:2 ratio) x 1 set = 1 set
- 4 girls and 8 boys (1:2 ratio) x 0 sets = 0 sets

Total number of possible combinations
- There are a total of 3 + 2 + 1 + 0 = 6 possible combinations.

Probability calculation
- The probability of having all children either boys or girls is the number of favorable outcomes divided by the total number of possible outcomes.
- In this case, the number of favorable outcomes is 3 (1 girl and 2 boys x 3 sets).
- Therefore, the probability = 3/6 = 1/2 or 50%.
Therefore, the probability that all the children in Mr. & Mrs. X's family are either boys or girls is 50%.
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Mr.& Mrs X stay in a house along with their 7 children. The female to male ration in the family is 1:2. Find the probability that all the children are either boy or girl.?
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Mr.& Mrs X stay in a house along with their 7 children. The female to male ration in the family is 1:2. Find the probability that all the children are either boy or girl.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Mr.& Mrs X stay in a house along with their 7 children. The female to male ration in the family is 1:2. Find the probability that all the children are either boy or girl.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr.& Mrs X stay in a house along with their 7 children. The female to male ration in the family is 1:2. Find the probability that all the children are either boy or girl.?.
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