1. Bert And Ernie Walk Into A Donut Shop Where There Are 10 Different Flavors Of Donut Available. Each One Independently Chooses Three Different Flavors At Random. (I) Find The Expected Number Of Flavors Chosen By Both Bert And Ernie. (Ii) Find The Expected Number Of Flavors Not Chosen By Either Bert Or Ernie. (Iii) Find The Expected Number Of Flavors Chosen

1. Bert and Ernie walk into a donut shop where there are 10 different flavors of donut available. Each

one independently chooses three different flavors at random.

(i) Find the expected number of flavors chosen by both Bert and Ernie.

(ii) Find the expected number of flavors not chosen by either Bert or Ernie.

(iii) Find the expected number of flavors chosen by exactly one of Bert and Ernie.