As a language model AI, I cannot perform Monte Carlo simulations directly. However, I can guide you on how to set up and perform the simulation to determine the probability of the reaction occurring.1. Gather the necessary data: To perform a Monte Carlo simulation, you will need the rate constant k for the reaction between methane and hydroxyl radical at 298K and 1 atm pressure. You can find this information in the literature or chemical databases.2. Set up the simulation: Define the initial concentrations of methane and hydroxyl radicals in the system. You can use the ideal gas law to convert the given pressure 1 atm to the number of molecules in the system.3. Define the time step: Choose a suitable time step t for the simulation. The time step should be small enough to capture the reaction dynamics but large enough to keep the computational cost reasonable.4. Perform the simulation: For each time step, calculate the probability of the reaction occurring using the rate constant k and the concentrations of the reactants. You can use the following equation:P reaction = k * [methane] * [hydroxyl radical] * t5. Update the concentrations: If the reaction occurs, update the concentrations of the reactants and products accordingly. Repeat steps 4 and 5 for a large number of time steps to simulate the reaction over a longer time period.6. Analyze the results: After the simulation is complete, analyze the results to determine the probability of the reaction occurring. You can calculate the probability by dividing the number of times the reaction occurred by the total number of time steps.Keep in mind that Monte Carlo simulations involve a degree of randomness, so you may need to perform multiple simulations and average the results to obtain a more accurate estimate of the probability.