Answer:
Step-by-step explanation:
Given
Charlotte can select from a ruby , an emerald or an opal stone
i.e. there are 3 choices for stone
while there are 2 choices for metal i.e. silver or gold
no of ways to select a stone is [tex]^3C_1=3[/tex]
no of ways to select metal [tex]^2C_1=2 [/tex]
No of ways to select a ring[tex]=2\times 3=6[/tex]
(b)Probability of selecting a ruby is [tex]=\frac{1}{3}[/tex]
Probability of selecting a metal is [tex]=\frac{1}{2}[/tex]
Probability of selecting a ring with a ruby stone and gold metal[tex]=\frac{1}{3}\times \frac{1}{2}=\frac{1}{6}[/tex]
