A group of students rolled a standard die 300 times
MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
A group of students rolled a standard die 300 times. Their record showed the following frequencies:
• “Number greater than 6” appeared 0 times.
• “Number less than or equal to 6” appeared 300 times.
• “Number is even” appeared 150 times.
(i) For each of the three events listed, calculate its empirical probability.
(ii) Classify each event as certain, impossible, or possible but not certain, giving a reason for every classification.
(iii) Show that the events “number greater than 6” and “number less than or equal to 6” are complementary and verify the complementary probability relation using your answers to part (i).