Question

predicting the gender of a randomly chosen art teacher if 1 of 3 art teachers is female
predicting the gender of a randomly chosen history teacher if 12 of 15 history teachers are female
predicting the gender of a randomly chosen biology teacher if 8 of 12 biology teachers are female
predicting the gender of a randomly chosen chemistry teacher if 4 of 9 chemistry teachers are female
predicting the gender of a randomly chosen health teacher if 2 of 4 health teachers are female

Explanation:

Step1: Calculate probability for art teachers

The probability of choosing a female art - teacher is $\frac{1}{3}\approx0.33$.

Step2: Calculate probability for history teachers

The probability of choosing a female history - teacher is $\frac{12}{15} = 0.8$.

Step3: Calculate probability for biology teachers

The probability of choosing a female biology - teacher is $\frac{8}{12}=\frac{2}{3}\approx0.67$.

Step4: Calculate probability for chemistry teachers

The probability of choosing a female chemistry - teacher is $\frac{4}{9}\approx0.44$.

Step5: Calculate probability for health teachers

The probability of choosing a female health - teacher is $\frac{2}{4}=0.5$.

Answer:

Art teacher: $\frac{1}{3}\approx0.33$; History teacher: $0.8$; Biology teacher: $\frac{2}{3}\approx0.67$; Chemistry teacher: $\frac{4}{9}\approx0.44$; Health teacher: $0.5$