Question

In an English course there are 16 men and 24 women, only four men wear long hair, the rest wear it short, while only six women wear short hair, the rest wear it long, what is the probability that the person has long hair? long?

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Answer to a math question In an English course there are 16 men and 24 women, only four men wear long hair, the rest wear it short, while only six women wear short hair, the rest wear it long, what is the probability that the person has long hair? long?

Expert avatar
Birdie
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103 Answers
To find the probability that a randomly chosen person has long hair, we need to find the total number of people with long hair and divide it by the total number of people in the class.

Let's find the total number of people with long hair:
- Number of men with long hair = 4
- Number of women with long hair = 24 - 6 = 18

Total number of people with long hair = 4 (men) + 18 (women) = 22

Next, let's find the total number of people in the class:
Total number of men = 16
Total number of women = 24

Total number of people in the class = 16 (men) + 24 (women) = 40

Now, let's find the probability that a person has long hair:
P(\text{long hair}) = \dfrac{\text{Total number of people with long hair}}{\text{Total number of people in the class}}
P(\text{long hair})=\dfrac{22}{40}=\frac{11}{20}
P(\text{long hair}) = 0.55

Therefore, the probability that a randomly chosen person has long hair is \boxed{0.55} .

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