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A group consists of equal number of men and women. Of this group 20% of the men and 50% of the women are unemployed. If a person is selected at random from this group, the probability of the selected person being employed is _______
(Important - Enter only the numerical value in the answer)
Correct answer is between '0.64,0.66'. Can you explain this answer?
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Question Analysis:
- The group consists of an equal number of men and women.
- 20% of the men and 50% of the women in the group are unemployed.
- We need to find the probability of selecting an employed person at random from this group.
Solution:
Step 1: Determine the proportion of unemployed men and women
- Let's assume the total number of men and women in the group is 100 each.
- 20% of the men are unemployed, which means 20 men are unemployed.
- 50% of the women are unemployed, which means 50 women are unemployed.
Step 2: Find the number of employed men and women
- Since the group consists of an equal number of men and women, there are 100 employed men and 50 employed women.
Step 3: Calculate the probability of selecting an employed person
- The total number of employed people in the group is 100 (men) + 50 (women) = 150.
- The total number of people in the group is 100 (men) + 100 (women) = 200.
- The probability of selecting an employed person at random is 150/200 = 0.75.
Step 4: Verify the given answer range
- The given answer range is 0.64 to 0.66.
- To verify if the calculated probability falls within this range, we can convert it to a percentage.
- 0.75 x 100 = 75%.
- 75% is between 64% and 66%, so the calculated probability falls within the given answer range.
Conclusion:
- The probability of selecting an employed person at random from this group is 0.75 or 75%.
- The given answer range of 0.64 to 0.66 is correct based on the calculations.
- The group consists of an equal number of men and women.
- 20% of the men and 50% of the women in the group are unemployed.
- We need to find the probability of selecting an employed person at random from this group.
Solution:
Step 1: Determine the proportion of unemployed men and women
- Let's assume the total number of men and women in the group is 100 each.
- 20% of the men are unemployed, which means 20 men are unemployed.
- 50% of the women are unemployed, which means 50 women are unemployed.
Step 2: Find the number of employed men and women
- Since the group consists of an equal number of men and women, there are 100 employed men and 50 employed women.
Step 3: Calculate the probability of selecting an employed person
- The total number of employed people in the group is 100 (men) + 50 (women) = 150.
- The total number of people in the group is 100 (men) + 100 (women) = 200.
- The probability of selecting an employed person at random is 150/200 = 0.75.
Step 4: Verify the given answer range
- The given answer range is 0.64 to 0.66.
- To verify if the calculated probability falls within this range, we can convert it to a percentage.
- 0.75 x 100 = 75%.
- 75% is between 64% and 66%, so the calculated probability falls within the given answer range.
Conclusion:
- The probability of selecting an employed person at random from this group is 0.75 or 75%.
- The given answer range of 0.64 to 0.66 is correct based on the calculations.
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A group consists of equal number of men and women. Of this group 20% of the men and50% of the women are unemployed. If a person is selected at random from this group, theprobability of the selected person being employed is _______(Important - Enter only the numerical value in the answer)Correct answer is between '0.64,0.66'. Can you explain this answer?
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A group consists of equal number of men and women. Of this group 20% of the men and50% of the women are unemployed. If a person is selected at random from this group, theprobability of the selected person being employed is _______(Important - Enter only the numerical value in the answer)Correct answer is between '0.64,0.66'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A group consists of equal number of men and women. Of this group 20% of the men and50% of the women are unemployed. If a person is selected at random from this group, theprobability of the selected person being employed is _______(Important - Enter only the numerical value in the answer)Correct answer is between '0.64,0.66'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A group consists of equal number of men and women. Of this group 20% of the men and50% of the women are unemployed. If a person is selected at random from this group, theprobability of the selected person being employed is _______(Important - Enter only the numerical value in the answer)Correct answer is between '0.64,0.66'. Can you explain this answer?.
A group consists of equal number of men and women. Of this group 20% of the men and50% of the women are unemployed. If a person is selected at random from this group, theprobability of the selected person being employed is _______(Important - Enter only the numerical value in the answer)Correct answer is between '0.64,0.66'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A group consists of equal number of men and women. Of this group 20% of the men and50% of the women are unemployed. If a person is selected at random from this group, theprobability of the selected person being employed is _______(Important - Enter only the numerical value in the answer)Correct answer is between '0.64,0.66'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A group consists of equal number of men and women. Of this group 20% of the men and50% of the women are unemployed. If a person is selected at random from this group, theprobability of the selected person being employed is _______(Important - Enter only the numerical value in the answer)Correct answer is between '0.64,0.66'. Can you explain this answer?.
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