there are 100 males and 100 females in a club. 80 of the men and 10 of the women are scientists. what is the probability one person is chosen to interview p(female scientist)
The probability of picking a female scientist by chance = #of female scientists/grand total
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To find the probability of choosing a female scientist, we need to divide the number of female scientists by the total number of people in the club.
First, let's calculate the number of female scientists. We know that 10 out of 100 women in the club are scientists.
Number of female scientists = 10
Next, let's determine the total number of people in the club. Since there are 100 males and 100 females, the total number of people in the club is 100 + 100 = 200.
Total number of people in the club = 200
Now we can calculate the probability of selecting a female scientist. We divide the number of female scientists by the total number of people in the club.
Probability of selecting a female scientist (p(female scientist)) = Number of female scientists / Total number of people in the club = 10/200 = 0.05
Therefore, the probability of choosing a female scientist is 0.05, which is equal to 5%.