a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? (Type an integer or a decimal. Do not round.)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they
could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the
therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching
it. Among 276 trials, the touch therapists were correct 129 times. Complete parts (a) through (d).
a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses
would be expected if the touch therapists made random guesses?
(Type an integer or a decimal. Do not round.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b2e855c-491a-4fb1-a0ae-04ed96882b44%2F52bfa031-db03-4bf7-bd85-1a01624e8400%2F93cq3x_processed.jpeg&w=3840&q=75)
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