Question

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Suppose that 1/2 of the children in preschool are scared of snakes, 1/3 are scared of spiders, and 1/12 are scared of snakes and spiders.

1. What fraction of those who are scared of spiders are also scared of snakes?

A) 1/2
B) 1/3
C) 1/4
D) 1/6

2. What fraction of those who are scared of snakes are also scared of spiders?

A) 1/2
B) 1/3
C) 1/4
D) 1/6

Answer 1

1. Option c is correct.

2. Option D is correct.

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.

`\text{Proportion of children who are scared of spiders are also scared of snakes}=(1)/(12) /(1)/(3)`

`\text{Proportion of children who are scared of spiders are also scared of snakes}=(1)/(12) \cdot(3)/(1)`

`\text{Proportion of children who are scared of spiders are also scared of snakes}=(1\cdot3)/(12\cdot1)=(1)/(4)`

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.

`\text{Proportion of children who are scared of snakes are also scared of spiders}=(1)/(12) /(1)/(2)`

`\text{Proportion of children who are scared of snakes are also scared of spiders}=(1)/(12) \cdot(2)/(1)`

`\text{Proportion of children who are scared of snakes are also scared of spiders}=(1\cdot2)/(12\cdot1)=(1)/(6)`

Therefore, option D is the correct choice.