we want to play a game of Yahtzee. It is a popular game played with 5 six-sided dices. In each turn, he rolls all five dice, and he keeps a count of the number of turns needed until he sees sixes on a

Category: Programming

Python Programmingwe want to play a game of Yahtzee. It is a popular game played with 5 six-sided dices. In each turn, he rolls all five dice, and he keeps a count of the number of turns needed until he sees sixes on all five dice. He wonders how many turns are needed in expectation to roll 5 sixes. Taking what was talked about in Introduction to Scientific Programming about computing probabilities and expectations, he wants to write a program that computes this. Please write a program yahtzee.py that computes the expected number of tries to win at Yahtzee. You may write a single function named experiment that rolls five dice over and over until all of them are sixes. This function should return the number of turns needed until all sixes are rolled. You can then call this function many times and take the average over 1000 games of Yahtzee. 

The expected output is shown below. Sample Output: In expectation, it takes 7768.991 attempts to roll 5 sixes. For full credit, the answer should be plus or minus 500 from 7700, and it should take between 20 and 30 seconds to run.

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