You have one suit of a standard deck of playing cards and you use their denominations as the vertex names in a rooted tree. • The Ace is the designated vertex, the root of the tree. • The Jack, Queen, and King are children of the Ace. • The prime number cards are children of the King. • The even number cards that are not prime are children of the Queen. • The odd number cards that are not prime are children of the Jack. For all three questions answer with a fraction, for example, 1/2 is a fraction. 1. If you randomly pick a leaf from the tree, what is the probability that you picked a child of the Jack or the King? 2. If you randomly pick a vertex from the tree, what is the probability that it is a parent? 3. What is the probability of randomly picking the King given that you have picked a parent from the tree?
You have one suit of a standard deck of playing cards and you use their denominations as the vertex names in a rooted tree. • The Ace is the designated vertex, the root of the tree. • The Jack, Queen, and King are children of the Ace. • The prime number cards are children of the King. • The even number cards that are not prime are children of the Queen. • The odd number cards that are not prime are children of the Jack. For all three questions answer with a fraction, for example, 1/2 is a fraction. 1. If you randomly pick a leaf from the tree, what is the probability that you picked a child of the Jack or the King? 2. If you randomly pick a vertex from the tree, what is the probability that it is a parent? 3. What is the probability of randomly picking the King given that you have picked a parent from the tree?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:You have one suit of a standard deck of playing cards and you use their denominations as the
vertex names in a rooted tree.
• The Ace is the designated vertex, the root of the tree.
• The Jack, Queen, and King are children of the Ace.
• The prime number cards are children of the King.
• The even number cards that are not prime are children of the Queen.
• The odd number cards that are not prime are children of the Jack.
For all three questions answer with a fraction, for example, 1/2 is a fraction.
1. If you randomly pick a leaf from the tree, what is the probability that you picked a child of the
Jack or the King?
2. If you randomly pick a vertex from the tree, what is the probability that it is a parent?
3. What is the probability of randomly picking the King given that you have picked a parent from
the tree?
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