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Simulating the dice game

We now know how to implement the first three steps of a simulation. Now let's consider the next step - repeated random sampling.

Simulating an outcome once doesn't tell us much about how often we can expect to see that outcome. In the case of the dice game from the previous exercise, it's great that we won once. But suppose we want to see how many times we can expect to win if we played this game multiple times, we need to repeat the random sampling process many times. Repeating the process of random sampling is helpful to understand and visualize inherent uncertainty and deciding next steps.

Following this exercise, you will be familiar with implementing the fourth step of running a simulation - sampling repeatedly and generating outcomes.

Deze oefening maakt deel uit van de cursus

Statistical Simulation in Python

Cursus bekijken

Oefeninstructies

  • Set sims to 100 repetitions and initialize wins to 0.
  • Write a for loop to repeat throwing the dice.
  • Set outcomes to the outcome of throwing two dice.
  • If the two dice show the same number, increment wins by 1.

Praktische interactieve oefening

Probeer deze oefening eens door deze voorbeeldcode in te vullen.

# Initialize model parameters & simulate dice throw
die, probabilities, num_dice = [1,2,3,4,5,6], [1/6, 1/6, 1/6, 1/6, 1/6, 1/6], 2
sims, wins = ____, ____

for i in range(sims):
    outcomes = ____ 
    # Increment `wins` by 1 if the dice show same number
    if ____: 
        wins = wins + 1 

print("In {} games, you win {} times".format(sims, wins))
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