Let S be any sample space, and E, F and G be any three events. Describe the event that none of the events E, F nor G occur.

Question

Help! Please Please!

Answer 1

(EUFUG)'

= the complement of EUFUG = none of the 3 events occurs

= E' U F' U G'

Answer 2

Sabrina,

 

I am not sure what notation you are allowed to use here, but one way to say this is the complement of E ∪ F ∪ G. If you were to draw a Venn diagram, this would be the region in the sample space S which is OUTSIDE E, F, and G.

 

Do you need the answer stated differently?