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chapter 3: 3.1 probability terminology (concepts, simple, complements) …

Question

chapter 3: 3.1 probability terminology (concepts, simple, complements) home score: 9/12 answered: 10/12 progress saved done question 12 giving a test to a group of students, the grades and gender are summarized below grades and gender a b c total male 5 20 3 28 female 2 12 10 24 total 7 32 13 52 if one student is chosen at random, find the probability that the student was female and got a \a\. round your answer to 4 decimal places.

Explanation:

Step1: Identify favorable outcomes

The number of female students who got an 'A' is 2.

Step2: Identify total outcomes

The total number of students is 52.

Step3: Calculate probability

The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{2}{52}=\frac{1}{26}\approx0.0385$.

Answer:

0.0385