You make a deck of 3 cards, labeling them 1, 2, and 3. You shuffle them together, then lay them out in a random order, interpreting the result as a three-digit number. (For example, if you lay out the cards labeled 3, then 1, then 2, you interpret that as the number 312.) Let A be the event "the number is odd" and let B be the event "the number is less than 222". C ts) Interpreting A and B as sets of outcomes, li une elements of each. 36 Are A and B disjoint? Briefly explain why or why not. Are A and B independent? Briefly explain why or why not.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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1 Three cards
You make a deck of 3 cards, labeling them 1, 2, and 3. You shuffle them together, then lay them
out in a random order, interpreting the result as a three-digit number. (For example, if you lay out
the cards labeled 3, then 1, then 2, you interpret that as the number 312.)
Let A be the event "the number is odd" and let B be the event "the number is less than 222".
C ts) Interpreting A and B as sets of outcomes, lis. une elements of each.
Are A and B disjoint? Briefly explain why or why not.
^ㅅ
Are A and B independent? Briefly explain why or why not.
Transcribed Image Text:1 Three cards You make a deck of 3 cards, labeling them 1, 2, and 3. You shuffle them together, then lay them out in a random order, interpreting the result as a three-digit number. (For example, if you lay out the cards labeled 3, then 1, then 2, you interpret that as the number 312.) Let A be the event "the number is odd" and let B be the event "the number is less than 222". C ts) Interpreting A and B as sets of outcomes, lis. une elements of each. Are A and B disjoint? Briefly explain why or why not. ^ㅅ Are A and B independent? Briefly explain why or why not.
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