There is a game introduced to a class of 35 students. The game requires the first two students to choose any number from 1 to 100. The third student will have to choose a number which is the arithmetic mean of the numbers chosen by the first two students. In turn, the fourth students will have to choose a number which is the arithmetic mean of the numbers chosen by all the previous students. What number was chosen by the 35th student if the numbers chosen by the first and second students are 1 and 100, respectively?
There is a game introduced to a class of 35 students. The game requires the first two students to choose any number from 1 to 100. The third student will have to choose a number which is the arithmetic mean of the numbers chosen by the first two students. In turn, the fourth students will have to choose a number which is the arithmetic mean of the numbers chosen by all the previous students. What number was chosen by the 35th student if the numbers chosen by the first and second students are 1 and 100, respectively?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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