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question for Probability
In a recent survey, a random sample of 475 people was interviewed. They were asked on their preference for fried food. Of the 300 males interviewed, 135 responded that they like fried food. In total, 270 responders do not like fried food and of which 105 are females. If a person is randomly selected, what is the probability that the person a) is female, b) is female and likes fried food, c) is female or does not like fried food,
- There are 475 people total
- 300 are male so 175 are female (assuming they all identify as male or female)
- 135 males like fried food
- 270 people total do not like fried food
- 105 females do not like fried food
- 175 - 105 = 70 females do like fried food
- 270 - 105 = 165 males do not like fried food
a.) Probability that the person is female is 175/475 = ~37%
b.) Probability that the person is female and likes fried food is 70/475 = ~15%
c.) Probability that the person is female or does not like fried food is (175 + 165) / 475 = 85%
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