Answer: C. 11/15
Step-by-step explanation:
Given : The fraction of stores inventory is children's clothing=[tex]\dfrac{1}{3}[/tex]
The fraction of stores inventory is women's clothing=[tex]\dfrac{2}{5}[/tex]
Since both events are independent.
Therefore, the fraction of the total inventory is children's or women's clothing = (Fraction of stores inventory is children's clothing ) + (Fraction of stores inventory is women's clothing )
[tex]=\dfrac{1}{3}+\dfrac{2}{5}=\dfrac{5+2(3)}{15}[/tex]
[tex]=\dfrac{11}{15}[/tex]
∴ The fraction of the total inventory is children's or women's clothing [tex]=\dfrac{11}{15}[/tex]
Hence, the correct answer is C. 11/15 .
