A supposed coffee connoisseur claims she can distinguish between a cup of instant coffee and a cup of drip coffee 75% of the time. You give her 6 cups of coffee and tell her that you will grant her claim if she correctly identifies at least 5 of the 6 cups.
(a) What are her chances of having her claim granted if she is in fact only guessing
(b) What are her chances of having her claim rejected when in fact she really does have the ability she claims?
[Round your answer to 4 decimal places.]

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1/32=0.0313

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