+0  
 
0
146
1
avatar

At breakfast, lunch, and dinner, Joe randomly chooses with equal probabilities either an apple, an orange, or a banana to eat. On a given day, what is the probability that Joe will eat at least two different kinds of fruit?

 Nov 8, 2018
 #1
avatar+4442 
0

\(P[\text{Joe eats at least two different kinds of fruit}] = \\ 1-P[\text{Joe only eats 1 kind of fruit}] = \\ 1 - 3\cdot \left(\dfrac 1 3\right)^3 = \\ 1 - \dfrac 1 9 = \\ \dfrac 8 9\)

.
 Nov 8, 2018

8 Online Users

avatar
avatar
avatar