Question

after giving a test to a group of students, below is the summary of grades and gender.

	a	b	c	total
female	9	12	8	29
total	16	16	28	60

if a student was randomly chosen, find the probability that the student earned a b. round your answer to three decimal places.

Explanation:

Step1: Identify relevant values

The number of students who earned a B is $4 + 12=16$, and the total number of students is $60$.

Step2: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $P=\frac{16}{60}$.

Step3: Simplify and round

$\frac{16}{60}=\frac{4}{15}\approx 0.267$

Answer:

$0.267$