Verify your answers for Problem 1.20 with a computer simulation, where the experiment is repeated many times. Problem 1.20 Independently throw 10 balls into one of three boxes, numbered 1, 2, and 3,...

Verify your answers for Problem 1.20 with a computer simulation, where the experiment is repeated many times.

Problem 1.20

Independently throw 10 balls into one of three boxes, numbered 1, 2, and 3, with probabilities 1/4, 1/2, and 1/4, respectively.

1. What is the probability that box 1 has 2 balls, box 2 has 5 balls, and box 3 has 3 balls?

2. What is the probability that box 1 remains empty?