Xavier determined that some fish like to eat worms, some like to eat shrimp, and others don't like to eat worms or shrimp. He calculated the probabilities and created the Venn diagram below:

Question

anonymous · Answer

Attach the Venn Diagram :)

anonymous · Answer

What is the probability that a fish eats worms, given that it eats shrimp?

anonymous · Answer

@SolomonZelman

solomonzelman · Answer

Nice pic! What do you mean? can I rephrase the question as

What's the probability of fish only eating worms, given what it generally eats?

anonymous · Answer

thanks! IDK but this is the original question, What is the probability that a fish eats worms, given that it eats shrimp?

anonymous · Answer

@SolomonZelman

solomonzelman · Answer

Oh, so we are finding the probability of a fish that eats worms! NOT JUST WORMS, but fish that eat worms and.. is also included.

solomonzelman · Answer

What is that   .1  outside the circles?

anonymous · Answer

The 1 represents the fish that don't like to eat either. @SolomonZelman

solomonzelman · Answer

Oh, ok.        $\huge\color{red}{ 5 }$     is that the worms do eat.

and   3+2+4+1  ,   or       $\huge\color{red}{ 10 }$      is the entire fish.

the probability is      $\huge\color{red}{ \frac{5 }{10}  }$ 

now you just have to REDUCE the fraction.

anonymous · Answer

So 1/2?

anonymous · Answer

@SolomonZelman

solomonzelman · Answer

$\huge\color{magenta}{ YE~S~! }$

anonymous · Answer

Thats not in the options
0.2

 0.3

 0.33

 0.67

@SolomonZelman

solomonzelman · Answer

Oh, then I missed the correct interpretation. 

it's the probability that the fish will eat JUST worms and nothing else.

solomonzelman · Answer

Oh, then I missed the correct interpretation. 

it's the probability that the fish will eat JUST worms and nothing else.

anonymous · Answer

so how would we solve it?

solomonzelman · Answer

Sorry, got disconnected in the middle of my reply.

So fish that eats ONLY worms is   $\huge\color{blue}{  3   }$ 
the entire fish is     $\huge\color{blue}{  10    }$ 

what would the answer be? you tell me

anonymous · Answer

0.3?

anonymous · Answer

@SolomonZelman

solomonzelman · Answer

Yeah, looks like it to me!   3/10  or   .3

anonymous · Answer

Thanks!

solomonzelman · Answer

You welcome!

anonymous · Answer

It was incorrect (just took the test) but thanks anyway!