Question

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

	a	b	c	total
female	4	16	13	33
total	10	24	27	61

if one student is chosen at random,

find the probability that the student was male and got a \a\.

Explanation:

Step1: Recall probability formula

The probability formula is $P(E)=\frac{n(E)}{n(S)}$, where $n(E)$ is the number of elements in the event $E$ and $n(S)$ is the number of elements in the sample - space.

Step2: Identify $n(E)$ and $n(S)$

The number of male students who got an 'A' is 6 (from the table, the intersection of "Male" row and "A" column). The total number of students is 61 (the grand - total in the table).

Answer:

$\frac{6}{61}$