solve with matlab.suppose that two fair dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. what is the probability that we obtain a sum of 3 before we obtain a sum of 7? Please just write matlab code that solves this problem using simulation
solve with matlab.suppose that two fair dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. what is the probability that we obtain a sum of 3 before we obtain a sum of 7? Please just write matlab code that solves this problem using simulation
Algorithm to Simulate Probability of Getting a Sum of 3 before a Sum of 7 with Two Dice
1. Set the number of simulations (numSimulations) to a desired value, e.g., 10,000.
2. Initialize counters:
- countSum3 to 0 (to keep track of the number of times sum 3 is obtained first)
- countSum7 to 0 (to keep track of the number of times sum 7 is obtained first)
3. Repeat the following steps numSimulations times (for each simulation):
a. Initialize a loop to simulate the dice rolls:
i. Inside the loop, roll two fair six-sided dice.
ii. Calculate the sum of the two dice.
b. Check the sum obtained:
i. If the sum is equal to 3, increment countSum3 by 1 and break out of the loop.
ii. If the sum is equal to 7, increment countSum7 by 1 and break out of the loop.
4. Calculate the estimated probability as follows:
- probability = countSum3 / numSimulations
5. Print the probability of getting a sum of 3 before a sum of 7.
6. End the algorithm.
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