Of 50 people, 38 have brown hair, 29 have brown eyes, and 23 have both brown hair and brown eyes. how many have neither brown ha

Question

1 month ago

6

ir nor brown eyes?
A) 6 C) 10
B) 8 D) 12

2 answers:

babunello [11.8K] · Answer 1 · 2026-04-10T14:12:35+03:00

8 0

Is the process like this: 38+29=67, then 67-23=44
50-44=6
thus possibly A?

Svet_ta [12.7K] · Answer 2 · 2026-04-10T14:14:02+03:00

Answer:

The right choice is A.

Here's the explanation in steps:

Let A and B denote these events.

A = Individual with brown hair

B = Individual with brown eyes

Provided data:

Total individuals, S = 50

Individuals with brown hair, n(A)=38

Individuals with brown eyes, n(B)=29

Individuals with both features, n(A∩B)=23.

The grand total of individuals with either brown hair or eyes is

$n(A\cup B)=n(A)+n(B)+n(A\cap B)$

$n(A\cup B)=38+29-23$

$n(A\cup B)=44$

A total of 6 individuals have neither brown hair nor eyes.

$S-n(A\cup B)=50-44=6$

Thus, the accurate option is A.