On their first​ date, Kelly asks Mike to guess the date of her​ birth, not including the year. Complete parts a through c below. a. What is the probability that Mike will guess​ correctly? (Ignore leap​ years.)   nothing ​(Type an integer or a simplified​ fraction.) b. Would it be unlikely for him to guess correctly on his first​ try?     A. ​Yes, it is unlikely for Mike to guess correctly on his first​ try, as the probability of a correct guess is very low.   B. ​Yes, it is unlikely for Mike to guess correctly on his first​ try, as the probability of a correct guess is very high.   C. ​No, it is not unlikely for Mike to guess correctly on his first​ try, as the probability of a correct guess is very high.   D. ​No, it is not unlikely for Mike to guess correctly on his first​ try, as the probability of a correct guess is very low.   E. It is impossible for Mike to not guess correctly on his first​ try, as the probability of a correct guess is 1.   F. It is impossible for Mike to guess correctly on his first​ try, as the probability of a correct guess is 0. c. If you were​ Kelly, and Mike did guess correctly on his first​ try, would you believe his claim that he made a lucky​ guess, or would you be convinced that he already knew when you were​ born?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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On their first date, Kelly asks Mike to guess the date of her birth, not including the year. Complete parts a through c below.
a. What is the probability that Mike will guess correctly? (Ignore leap years.)
 
nothing
(Type an integer or a simplified fraction.)
b. Would it be unlikely for him to guess correctly on his first try?
 
 
A.
Yes, it is unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very low.
 
B.
Yes, it is unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very high.
 
C.
No, it is not unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very high.
 
D.
No, it is not unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very low.
 
E.
It is impossible for Mike to not guess correctly on his first try, as the probability of a correct guess is 1.
 
F.
It is impossible for Mike to guess correctly on his first try, as the probability of a correct guess is 0.
c. If you were Kelly, and Mike did guess correctly on his first try, would you believe his claim that he made a lucky guess, or would you be convinced that he already knew when you were born?
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