The numbers 1 to 13 are written on 13 separate slips of paper and placed into a box. A slip of paper is randomly drawn from the box. Express probabilities as reduced fractions and as
decimals rounded to 3 decimal places.
1. a. What is the probability that the slip of paper has an odd number on it?
1. b. What is the probability that the slip of paper has a number less than 4 on it?
Theoretical probability can be used to predict the likelihood of an event. If a single, 6-sided die
is rolled there are six possible outcomes. That is, after rolling the die, the side facing up will
show one of six possibilities: 1, 2, 3, 4, 5, or 6. The theoretical probability that the die would
land with a “2” on the side facing up is P = 1/6 = 0.167 because one out of the 6 possibilities is
a “2.”
MGF2106 Project 2B; SP2020 5
2. Two experiments are conducted in which a single 6-sided die is rolled 20 and 80
times. The outcomes of the experiments are shown below. For each result calculate the
experimental probability of rolling a “2.” Express your answer as a reduced fraction and
a decimal rounded to three decimal places.
a. Experiment 1: 20 rolls
b. Experiment 2: 80 rolls
c. How do the experimental probabilities found compare to the theoretical probability?
d. How do the experimental probabilities found compare to each other? Which one is
closer to the theoretical probability?