Math Problem Statement
So I have this problem: Each pilot will have a 3% probability that they have to abandon the race during any lap. If a pilot needs to abandon, they will no longer drive the following laps. The decision (dice roll) will be redone on each lap.
Let's say that I have 10 drivers and 15 laps. What I did was I generated a random number between 1 and 3333. Lets say I get the number 3333. After that I divided the result by the number of drivers, so 3333 / 10 = 333. Now I generate a random number between 1 and 333 for each driver each lap. If this generated number is less or equal to 10, the driver will DNF. Does this solution work?
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Random Numbers
Statistics
Formulas
Probability formula: P(event) = favorable outcomes / total outcomes
Random number generation for probabilities: random number between 1 and 100 ≤ 3 for 3% chance
Theorems
Law of Large Numbers
Suitable Grade Level
Grades 10-12