Question

giving a test to a group of students, the grades and gender are summarized below

	a	b	c	total
female	2	10	6	18
total	14	21	11	46

if one student was chosen at random, find the probability that the student got a b.

Explanation:

Step1: Identify total number of students

The total number of students is 46.

Step2: Identify number of students with grade B

The number of students who got a B is 21.

Step3: Calculate probability

The probability $P$ of a student getting a B is $P=\frac{\text{Number of students with B}}{\text{Total number of students}}=\frac{21}{46}$.

Answer:

$\frac{21}{46}$