Throwing two fair dice
We now know how to implement the first two steps of a simulation. Now let's implement the next step - defining the relationship between random variables.
Often times, our simulation will involve not just one, but multiple random variables. Consider a game where you throw two dice and win if each die shows the same number. Here we have two random variables - the two dice - and a relationship between each of them - we win if they show the same number, lose if they don't. In reality, the relationship between random variables can be much more complex, especially when simulating things like weather patterns.
By the end of this exercise, you will be familiar with how to implement the third step of running a simulation - defining relationships between random variables.
Deze oefening maakt deel uit van de cursus
Statistical Simulation in Python
Oefeninstructies
- Set
num_diceto 2. - Complete the
np.random.choice()function to throw two dice and record the outcomes in theoutcomesvariable. - Fill in the Boolean condition to check if the two dice show the same number.
Praktische interactieve oefening
Probeer deze oefening eens door deze voorbeeldcode in te vullen.
# Initialize number of dice, simulate & record outcome
die, probabilities, num_dice = [1,2,3,4,5,6], [1/6, 1/6, 1/6, 1/6, 1/6, 1/6], ____
outcomes = np.random.choice(____, size=____, p=____)
# Win if the two dice show the same number
if ____ == ____:
answer = 'win'
else:
answer = 'lose'
print("The dice show {} and {}. You {}!".format(outcomes[0], outcomes[1], answer))