Question

Dice computer science science a FRQ generate 2 random dice between 3 and 8 sides and see the number of sums of 10 it can generate.

a) Monte Carlo method
b) Binary search
c) Bubble sort
d) Quick sort

Answer 1

The question pertains to simulating dice rolls and calculating the probability of their sums equaling 10 using computational methods such as the Monte Carlo method. It involves generating random numbers to simulate dice rolls and estimating probabilities by simulation.

Step-by-step explanation:

The original question is related to the concept of discrete probability distributions and involves simulating random events using computational methods. Specifically, it mentions generating random dice rolls for dice with a variable number of sides and calculating the probability of their sums equating to a particular value (in this case, the sum of 10). The question references various computational methods, but in the context provided, the Monte Carlo method seems most relevant as it is a technique for estimating probabilities by simulating random experiments.

To simulate the scenario using the Monte Carlo method with a programmable calculator or computer program, you would:

1. Utilize a random number generator function, like randInt, to generate two random integers representing the dice sides within the range specified (from 3 to 8 sides).
2. Simulate the dice rolls multiple times and count the instances where the sum of the two random numbers equals 10.
3. Estimate the probability by dividing the number of successful instances (sums of 10) by the total number of simulated rolls.

This technique allows you to approximate the probability of rolling a sum of 10 with the given variable-sided dice constraints.