Suppose a woman claims to be a clairvoyant. Specifically, she claims that if she is presented with 8 cards (4 are red, 4 are black), she will correctly identify the color of at least 6 of the cards without being able to see their colors. If she is guessing and has no special ability, what is the probability that she would correctly identify exactly 4 out of the 8 cards?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose a woman claims to be a clairvoyant. Specifically, she claims that if she is presented with 8 cards (4 are red, 4 are black), she will correctly identify the color of at least 6 of the cards without being able to see their colors. If she is guessing and has no special ability, what is the probability that she would correctly identify exactly 4 out of the 8 cards?

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