Plz write a code for the answer. Any code ..Python, matlab or c++ ...etc any lan

Question

Plz write a code for the answer. Any code ..Python, matlab or c++ ...etc any language

4.32 In Problems 3.28 and 3.29, we calculated the probabilities of a Yahtzee throw of five dic Ce, all In the game, the player is allowed to keep any number of the five dice (from zero to five), and throw the remaining dice again. The player is then allowed to keep any of th five dice and throw the remaining dice yet again. (The player is even allowed to rethr dice he or she kept on the previous throw.) The best score in the game is called a Yahtz which happens when the player obtains the same number on all five dice. ee For example, the player might throw 2, 2, 4, 5, 6. The playe r might choose to keep the 2, 2 and throw the other three dice again. In the second throw, the player obtains 1, 2, 3, The player keeps the 2 (making three 23) and rethrows the remaining two dice. If those dice come up 2, 2, the player has made Yahtzee. Write a program to simulate Yahtzee. Assume the player is trying to achieve Yahtzee. What is the estimated probability of achieving Yahtzee? (Hint: the exact value is approximately 5%)

Explanation / Answer

Python3 Code:

from random import randint

values = [0, 0, 0, 0, 0, 0] #to track count

diceKeep = -1 #yathzee number

diceCount = 0 #count of yathzee number

dice = 5 #throwing dice

throws = 0 #total throws

#roll till dice becomes 0

while dice > 0:

    throws = throws + 1 #increment throws

    #throw all dice

    for i in range(dice):

        ind = randint(1, 6)

        values[ind-1] = values[ind-1] + 1

    count = max(values) #get max value

    #if we kept some dice already

    if diceKeep != -1:

      ind = values.index(count) #get dice number

        #if same dice increment count

        if diceKeep == ind:

            diceCount = diceCount + count

        #if different dice

        else:

            #count is more than previous one update

            if count > diceCount:

                diceCount = count

                diceKeep = ind

            #add that value to dice we kept

            elif diceKeep != -1:

                diceCount = diceCount + values[diceKeep]

    #if we haven't keep any dice

    elif count>1:

        diceCount = count

        diceKeep = values.index(count)    

    #make all counts 0

    for i in range(len(values)):

        values[i] = 0

    dice = 5 - diceCount #update dice throwing

#print yathzee number

print("Yahtzee number:",diceKeep+1)

print("Total throws:",throws)

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