12. QUESTION: Two sisters maintain that they can communicate telepathically. To test this assertion, you place the sisters in separate rooms and show sister A a series of cards. Each card is equally likely to depict either a circle or a star or a square. For each card presented to sister A, sister B writes down 'circle', or 'star' or 'square', depending on what she believes sister A to be looking at. If ten cards are shown, what is the probability that sister B correctly matches at least one?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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12. QUESTION:
Two sisters maintain that they can communicate telepathically. To test this assertion, you place the
sisters in separate rooms and show sister A a series of cards. Each card is equally likely to depict
either a circle or a star or a square. For each card presented to sister A, sister B writes down 'circle',
or 'star' or 'square', depending on what she believes sister A to be looking at. If ten cards are shown,
what is the probability that sister B correctly matches at least one?
Transcribed Image Text:12. QUESTION: Two sisters maintain that they can communicate telepathically. To test this assertion, you place the sisters in separate rooms and show sister A a series of cards. Each card is equally likely to depict either a circle or a star or a square. For each card presented to sister A, sister B writes down 'circle', or 'star' or 'square', depending on what she believes sister A to be looking at. If ten cards are shown, what is the probability that sister B correctly matches at least one?
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