III.5. Grades in an economics course. If you choose four students at random from all those who have taken the course described in Exercise III.3, what is the probability that all the students chosen got a B or better? Simulate 10 repetitions of this random choosing and use your results to estimate the probability. (Your estimate from only 10 repetitions isn’t reliable, but if you can do 10, you could do 10,000.) (Hint: See page 447.)
III.5 0.058 is the theoretical probability. The estimated probability based on simulation will vary based on assignment of digits and starting line in Table A. Assigning digits like III.3 part (b) and starting at line 101, none of the 10 samples results in all four students getting a B or better. Thus, the estimated probability for that particular simulation is 0/10 = 0%.