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In a survey of 350 women, 132 were found to be working. If a woman is selected at random, find the probability that she is not working.?
Most Upvoted Answer
In a survey of 350 women, 132 were found to be working. If a woman is ...
FAVOURABLE OUTCOMES = 350 - 132 = 168
TOTAL OUTCOMES = 350
P(NOT WORKING) =218/350= 84/175
Community Answer
In a survey of 350 women, 132 were found to be working. If a woman is ...
Understanding the Problem
In a survey of 350 women, we need to determine the probability that a randomly selected woman is not working.
Key Data Points
- Total number of women surveyed: 350
- Number of women found to be working: 132
Calculating the Number of Women Not Working
To find the number of women who are not working, we can subtract the number of working women from the total number of women surveyed.
- Number of women not working = Total women - Women working
- Number of women not working = 350 - 132 = 218
Calculating the Probability
Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes. In this case:
- Favorable outcomes (not working) = 218
- Total outcomes (total women) = 350
Thus, the probability that a randomly selected woman is not working is:
- Probability (not working) = Number of women not working / Total number of women
- Probability (not working) = 218 / 350
Conclusion
To summarize, the probability that a randomly selected woman from the survey is not working is 218 out of 350. This can also be converted to a decimal or percentage for better interpretation.
- Decimal: Approx. 0.622857
- Percentage: Approx. 62.29%
This means there is a 62.29% chance that a randomly selected woman from this survey is not working.
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In a survey of 350 women, 132 were found to be working. If a woman is selected at random, find the probability that she is not working.?
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