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.)

(type an integer or a simplified fraction.)

Explanation:

Step1: Determine total days

A non - leap year has 365 days. So the total number of possible dates (outcomes) is 365.

Step2: Determine favorable outcomes

There is only 1 correct date of Kelly's birth. The probability \( P \) of an event is given by the formula \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). Here, the number of favorable outcomes is 1 and the total number of outcomes is 365. So the probability \( P = \frac{1}{365} \).

Answer:

\(\frac{1}{365}\)