Question

g.pr.10.3 (mc)

there are 30 students in mr. jacksons class. the students hair and eye color are recorded below. find p(brown hair | blue eyes).

students hair and eye color

	blue eyes	green eyes	brown eyes
red hair	2	0	0
brown hair	1	12	9

• 33%
• 5%
• 20%
• 3%

Explanation:

Find the total number of students with blue eyes

$$ \text{Total blue eyes} = 2 \text{ (Blonde)} + 2 \text{ (Red)} + 1 \text{ (Brown)} = 5 $$

Find the number of students with brown hair among those with blue eyes

$$ \text{Brown hair and Blue eyes} = 1 $$

Calculate the conditional probability as a percentage

$$ P(\text{brown hair} \mid \text{blue eyes}) = \frac{1}{5} = 0.20 = 20\% $$

Answer:

• 33%
• 5%
• 20% (Correct answer)
• 3%