2. What is the sample space 3. P(even number rolled) 4. P(number less than 5 | even number).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Given that a die is rolled, find the following.

2. What is the sample space

3. \( P(\text{even number rolled}) \)

4. \( P(\text{number less than 5 | even number}) \)

5. \( P(\text{prime # | odd number}) \)

6. \( P(\text{prime # | number greater than 2}) \)

8. The letters in the word AARDVARK are printed on square pieces of cardboard with one letter per card. The eight letters are placed in a hat and one letter is chosen at random. Find the following probabilities.

   a) \( P(\text{the letter chosen is a vowel | the letter falls in the first half of the alphabet}) \)

   b) \( P(\text{the letter falls in the first half of the alphabet | letter chosen is a vowel}) \)
Transcribed Image Text:Given that a die is rolled, find the following. 2. What is the sample space 3. \( P(\text{even number rolled}) \) 4. \( P(\text{number less than 5 | even number}) \) 5. \( P(\text{prime # | odd number}) \) 6. \( P(\text{prime # | number greater than 2}) \) 8. The letters in the word AARDVARK are printed on square pieces of cardboard with one letter per card. The eight letters are placed in a hat and one letter is chosen at random. Find the following probabilities. a) \( P(\text{the letter chosen is a vowel | the letter falls in the first half of the alphabet}) \) b) \( P(\text{the letter falls in the first half of the alphabet | letter chosen is a vowel}) \)
Expert Solution
Step 1 as per guideline expert have to answer first three subparts only.

roll a die 

there are 6 sides of dice 

we have to find given probability

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