Question

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?
\\(\bigcirc\\) a. yes, it is unlikely for mike to guess correctly on his first try, as the probability of a correct guess is very high.
\\(\bigcirc\\) b. yes, it is unlikely for mike to guess correctly on his first try, as the probability of a correct guess is very low.
\\(\bigcirc\\) c. it is impossible for mike to not guess correctly on his first try, as the probability of a correct guess is 1.
\\(\bigcirc\\) d. it is impossible for mike to guess correctly on his first try, as the probability of a correct guess is 0.
\\(\bigcirc\\) e. no, it is not unlikely for mike to guess correctly on his first try, as the probability of a correct guess is very high.
\\(\bigcirc\\) 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.

Explanation:

Part b

To determine if it's unlikely, we analyze the probability from part a, which is $\frac{1}{365}$. A very low probability (close to 0) means an event is unlikely. Option B states that the low probability makes it unlikely, which matches. Other options are incorrect: A says high probability (wrong), C and D say impossible (probability isn't 1 or 0), E and F have contradictory logic about likelihood and probability level.

Answer:

B. Yes, it is unlikely for Mike to guess correctly on his first try, as the probability of a correct guess is very low.