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 wouldland with a "2" on the side facing up is P = 1/6 = 0.167 because one out of the6 possibilities isa "2."