## Question 3:

**(a)(i)**

$\frac{220}{750} = 0.293$ | B1 | Accept $\frac{22}{75}$

**(a)(ii)**

$\frac{24}{750} = 0.032$ | B1 | Accept $\frac{4}{125}$

**(a)(iii)**

$\frac{110 + 215 - 24}{750} = \frac{301}{750}$ | M1 | For adding totals and subtracting overlap |
$= 0.401$ | A1 | Accept $\frac{301}{750}$

**(a)(iv)**

$\frac{64}{220}$ | M1 | Correct numerator and denominator |
$= 0.291$ | A1 | Accept $\frac{16}{55}$

**(a)(v)**

$\frac{64}{195}$ | M1 | Correct numerator and denominator |
$= 0.328$ | A1 | Accept $\frac{64}{195}$

**(b)**

Number with dark hair and brown eyes $= 92$ | B1 | Seen or implied

Number with medium hair and green eyes $= 55$ | B1 | Seen or implied

$3 \times \frac{92}{750} \times \frac{91}{749} \times \frac{55}{748}$ | M1 | Three fractions multiplied with factor of 3 (or equivalent arrangements)

$= 0.00603$ | A1 | Answer to 3 s.f.