Question

Из 6 000 населения 55%-женщины,остальные 45-мужчины.Среди Мужчин 189-дальтоники(сцепленный с полом признак).Какова вероятность,что хотя бы одна из женщин страдает дальтонизмом?Как решать?

Answer 1

Женщина не может заболеть дальтонизмом, она является только носительницей этого гена. Следовательно, вероятность женщины с заболеванием дальтонизма - 0%

Answer 2

Problem Analysis

We are given that in a population of 6,000, 55% are women and the remaining 45% are men. Among the men, 189 are color blind (a sex-linked trait). We need to find the probability that at least one of the women is color blind.

Solution

To solve this problem, we can use the concept of conditional probability. We'll calculate the probability that a randomly selected woman is not color blind and then subtract it from 1 to find the probability that at least one woman is color blind.

Let's break down the solution into steps:

Step 1: Calculate the number of women in the population: Given that 55% of the population are women, we can calculate the number of women as follows: Number of women = 55% of 6,000 = 0.55 * 6,000 = 3,300 women

Step 2: Calculate the probability that a randomly selected woman is not color blind: Since the trait of color blindness is sex-linked and only affects men, the probability that a randomly selected woman is not color blind is 100%.

Step 3: Calculate the probability that at least one woman is color blind: To find the probability that at least one woman is color blind, we subtract the probability that no woman is color blind from 1. Probability of at least one woman being color blind = 1 - Probability that no woman is color blind

Step 4: Calculate the probability that no woman is color blind: Since the probability that a randomly selected woman is not color blind is 100%, the probability that no woman is color blind is 100% as well.

Step 5: Calculate the final probability: Probability of at least one woman being color blind = 1 - Probability that no woman is color blind = 1 - 100% = 0

Therefore, the probability that at least one woman is color blind is 0.

Please note that the given information does not provide any data on the prevalence of color blindness among women in the population. Without this information, we cannot calculate the probability of a woman being color blind.

Let me know if you need any further assistance!