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100 people are at party. Given data gives information about how many wear pink or not, and if a man or not. Imagine a pink wearing guest leaves, what is the probability of being a man
Given Data:
100 people are at party. Given data gives information about how many wear pink or not, and if a man or not. Imagine a pink wearing guest leaves, what is the probability of being a man
Given Data:
| Man | Not a Man | Total | |
|---|---|---|---|
| Wearing Pink | 20 | 30 | 50 |
| Not Wearing Pink | 30 | 20 | 50 |
| Total | 50 | 50 | 100 |
Answer & Solution
Correct Answer:
Option
A
Given Data:
The question asks for the probability that a pink-wearing guest is a man. Therefore, we consider only the guests who are wearing pink.
There are 50 pink-wearing guests, out of whom 20 are men.
Conditional Probability:
P(Man | Pink) = Number of Pink-wearing Men / Total Number of Pink-wearing Guests
= 20 / 50
= 0.4
Therefore, the probability that a pink-wearing guest is a man is 0.4.
Hence, the correct answer is Option A: 0.4.
The question asks for the probability that a pink-wearing guest is a man. Therefore, we consider only the guests who are wearing pink.
There are 50 pink-wearing guests, out of whom 20 are men.
Conditional Probability:
P(Man | Pink) = Number of Pink-wearing Men / Total Number of Pink-wearing Guests
= 20 / 50
= 0.4
Therefore, the probability that a pink-wearing guest is a man is 0.4.
Hence, the correct answer is Option A: 0.4.
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