Respuesta :
Answer:
1. Option c is correct.
2. Option D is correct.
Step-by-step explanation:
1. We have been given that 1/3 of children are scared of spiders and 1/12 of the children are scared of snakes and spiders.
[tex]\text{Proportion of children who are scared of spiders are also scared of snakes}=\frac{1}{12} \div\frac{1}{3}[/tex]
[tex]\text{Proportion of children who are scared of spiders are also scared of snakes}=\frac{1}{12} \cdot\frac{3}{1}[/tex]
[tex]\text{Proportion of children who are scared of spiders are also scared of snakes}=\frac{1\cdot3}{12\cdot1}=\frac{1}{4}[/tex]
Therefore, option C is the correct choice.
2. We have been given that 1/2 of children are scared of snakes and 1/12 of the children are scared of snakes and spiders.
[tex]\text{Proportion of children who are scared of snakes are also scared of spiders}=\frac{1}{12} \div\frac{1}{2}[/tex]
[tex]\text{Proportion of children who are scared of snakes are also scared of spiders}=\frac{1}{12} \cdot\frac{2}{1}[/tex]
[tex]\text{Proportion of children who are scared of snakes are also scared of spiders}=\frac{1\cdot2}{12\cdot1}=\frac{1}{6} [/tex]
Therefore, option D is the correct choice.