A sample space 5 consists of five simple events with these probabilities. P(E1)= P(E2) = 0.15 P{E3) = 0.55 P(E4} = 2P(E5] (a) Find the probabilities for simple events i'E4 and E5. ME.) = S me = E (b) Find the probabilities for these two events. A = {Eli E3: E4} 3 = {152. E3} m = S mm = S (c) List the simple events that are either in event A or event 5 or both. [If there are no simple events, enter NONE.) {S} ((1) List the simple events that are in both eventA and event B. [If there are no simple events, enter NONE.) { } A sample space contains 10 simple events: E1 , E2, . . . , E10. If P(E, ) = 3P(E2) = 0.36 and the remaining simple events are equiprobable, find the probabilities of these remaining simple events. P(E2) = P(E3) = P(E4) = P( E5) = P(E6) = P(E7) = P(E8) = P(Eg) = P(E 10) = 3. [-/3 Points] DETAILS MENDSTATC4 4.E.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A jar contains four coins: a nickel, a dime, a quarter, and a loonie. Three coins are randomly selected from the jar. (a) List the simple events in S. (Use / for nickel, D for dime, Q for quarter, and _ for loonie.) (b) What is the probability that the selection will contain the loonie? (Enter an exact number as an integer, fraction, or decimal.) (c) What is the probability that the total amount drawn will equal $1.25 or more? (Enter an exact number as an integer, fraction, or decimal.)