Probability exactly one event occurs?

[bcahmel]

Probability exactly one event occurs?

Homework Statement

0.42 chance eat cake, 0.56 chance eat pie. 0.16 chance eat both.Find probability that you eat exactly one of these two desserts.

Homework Equations

? I made a venn diagram

The Attempt at a Solution

I know how to find the probability of at least 1, but I don't understand how to find exactly one. At first I thought it would just be 0.40 + 0.26 =0.66 but I don't think this is right? So basically I just added probability eat cake + probability eat pie but I think this results in the probability or eating one or the other. So help? Please?

 

[statdad]

Did you label your Venn diagram? The event "exactly 1" has probability found in the portions of the circles that are not in the intersection.

 

[vela]

Your answer's right. Why do you think it's wrong?

 

[bcahmel]

thanks! I don't know why I think its wrong- stat isn't really common sense for me unfortunately :(

 

[vela]

Just to clarify, your first answer is correct. I think you did something different on your second attempt.