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? (Answer up to three decimal places)

Enter numerical value using the virtual keypad. Round off where necessary.

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