A man throws 9 identical pieces of chocolate into the cups.
For each piece of chocolate, the probability for it to be thrown into cup i is p_i.
Each throw is independent.
At the end of the game, if there is exactly one piece of chocolate in a cup, it is said to be a nice strike.
The probabilities of cup i are given below:
p_1: 0.15
p_2: 0.35
p_3: 0.05
p_4: 0.2
p_5: 0.25
1.What is the expected number of nice strikes?
2.What is the expected number of empty cups?
更新1:
Any simpler solution? Nelson's is quite complicated and uneasy to understand
