Suppose you play three songs by Jewell (J), Madonna (M) and Plumb (P) in a random order. Let M be the event that the Madnna song is played first and B be the event that the Jewel song is played before the Madonna song. Give numerical answers as fractions.

A. What is one of the possible orderings of the three songs? (Use just the initial of the artists and don't use spaces.)

B. How many items are in the sample space?  

Let M be the event that the Madonna song is played first and B be the event that the Plumb song is played before the Jewel song. Use fractions in your answers.

C. P(M)=\displaystyle {P}{\left({M}\right)}=  

D. P(B)=\displaystyle {P}{\left({B}\right)}=  

E. Write the calculation for finding P(M‾)\displaystyle {P}{\left(\overline{{{M}}}\right)} using the compliment rule.

F. P(M∪B)=\displaystyle {P}{\left({M}\cup{B}\right)}=  

G. P(M∩B)=\displaystyle {P}{\left({M}\cap{B}\right)}=  

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