Questions: 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.) 1/365 (Type an integer or a simplified fraction.) b. Would it be unlikely for him to guess correctly on his first try? A. It is impossible for Mike to guess correctly on his first try, as the probability of a correct guess is 0. B. Yes, it is unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very low. 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. It is impossible for Mike to not guess correctly on his first try, as the probability of a correct guess is 1. E. Yes, it is unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very high. F. No, it is not unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very low. 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?

Transcript text: 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.) $\frac{1}{365}$ (Type an integer or a simplified fraction.) b. Would it be unlikely for him to guess correctly on his first try? A. It is impossible for Mike to guess correctly on his first try, as the probability of a correct guess is 0 . B. Yes, it is unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very low. 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. It is impossible for Mike to not guess correctly on his first try, as the probability of a correct guess is 1 . E. Yes, it is unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very high. F. No, it is not unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very low. 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?