Two game spinners are shown below. The first is marked off in three equal sections and labeled with the numbers 5, 6, and 7. The second is also marked off in three equal sections but marked with the letters E, A, and T. Both needles are spun once, and the number and letter are recorded. (a) Create an organized list that shows all possible outcomes in the sample space. (b) How many equally likely outcomes are in the sample space? (c) What is the probability the needles will land on an odd number and a vowel? (d) What is the probability the needles will land on an even number and a consonant? (e) What is the probability it will land on a multiple of 3 and a vowel? (f) What is the probability it will land on a number and a letter? (g) What is the probability they will land on a multiple of 4 and a vowel?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Two game spinners are shown below. The first is marked off in three equal sections and labeled with the numbers 5, 6, and 7. The second is also marked off in three equal sections but marked with the letters E, A, and T. Both needles are spun once, and the number and letter are recorded. (a) Create an organized list that shows all possible outcomes in the sample space. (b) How many equally likely outcomes are in the sample space? (c) What is the probability the needles will land on an odd number and a vowel? (d) What is the probability the needles will land on an even number and a consonant? (e) What is the probability it will land on a multiple of 3 and a vowel? (f) What is the probability it will land on a number and a letter? (g) What is the probability they will land on a multiple of 4 and a vowel?
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