Question

A pair of dice are rolled 1,000 times with the following frequencies of outcomes:

Sum 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Frequency 10, 30, 50, 70, 110, 150, 170, 140, 120, 80, 70
Use these frequencies to calculate the approximate empirical probabilities and odds for the events a. The sum is less
than 4 or greater than 8. b. The sum is even or exactly divisible by 5.

Answer 1

the approximate empirical probabilities are 0.36 for event (a) and 0.84 for event (b), while the odds are approximately 0.5625 for event (a) and 5.25 for event (b).