Problem
1. At Antonlo's Pizzeria, the pz gargantuan. There are four varieties to Chovalian Paradise. carnivore's Dellght, Cheesy Wheezy, and Hassible choices. diagram or a table to display all of the possix prime numbers on it. The other 2. Two dice are rolled. One die has the alphabet on it. die has the first six letters of the alphabet die? a) What are the possibs the sample space. c) What is the total number of outcomes? d) What is the probability of $P(E, 11)$ ? Give your answer as a fraction, a decimal, and a percent. e) What is the probability of getting a vowel and an even prime number? Give vour answer as a fraction, a decimal, and a percent.
Solution
Step 1 ：Sample space: \(\{('A', 2), ('A', 3), ('A', 5), ('A', 7), ('A', 11), ('A', 13), ('B', 2), ('B', 3), ('B', 5), ('B', 7), ('B', 11), ('B', 13), ('C', 2), ('C', 3), ('C', 5), ('C', 7), ('C', 11), ('C', 13), ('D', 2), ('D', 3), ('D', 5), ('D', 7), ('D', 11), ('D', 13), ('E', 2), ('E', 3), ('E', 5), ('E', 7), ('E', 11), ('E', 13), ('F', 2), ('F', 3), ('F', 5), ('F', 7), ('F', 11), ('F', 13)\}\)
Step 2 ：Total number of outcomes: \(36\)
Step 3 ：Probability of \(P(E, 11)\): \(\frac{1}{36}\) (Decimal: 0.0278, Percent: 2.78%)
Step 4 ：Probability of getting a vowel and an even prime number: \(\frac{1}{18}\) (Decimal: 0.0556, Percent: 5.56%)
