A sample spaceSconsists of five simple events with these probabilities.

P(E₁) =P(E₂) =0.25P(E₃) =0.35

P(E₄) = 2P(E₅)

(a) Find the probabilities for simple eventsE₄andE₅.

P(E₄) =

P(E₅) =

(b) Find the probabilities for these two events.

A={E₁,E₃,E₄}

B={E₂,E₃}

P(A) =

P(B) =

(c) List the simple events that are either in eventAor eventBor both. (If there are no simple events, enter NONE.)

{_______}

(d) List the simple events that are in both eventAand eventB. (If there are no simple events, enter NONE.)

{_______}