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Answer:
The probability that mike will guess correctly is 0.0027397 or [tex]\frac{1}{365}[/tex].
Step-by-step explanation:
Consider the provided information.
The number of days in a year is 365 (Ignore leap years).
[tex]Probability = \frac{favorable\ outcomes}{possible\ outcomes}[/tex]
Here, favorable outcomes is 1 and total number of outcomes are 365.
Substitute these value in above formula.
[tex]Probability = \frac{1}{365}[/tex]
[tex]Probability = 0.0027397[/tex]
Thus, the probability that mike will guess correctly is 0.0027397 or [tex]\frac{1}{365}[/tex].
Probability of an event represents the chances of occurrence of that event.
The probability that Mike will guess Kelly's birth date correctly (ignoring leap years) is [tex]\dfrac{1}{365} \approx 0.00027[/tex]
How to calculate the probability of an event?
Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}}[/tex]
Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
Since we know that in a year (non leap year), there are 365 days, and Kelly's birthday can be on any one of those date, so the total number of days to chose from is 365 and since birthday of Kelly is going to be on single day of whole year, so favorable case is only single.
Thus,
if E = Selecting Kelly's birth date correctly,
Then
[tex]P(E) = \dfrac{1}{365} \approx 0.00027[/tex]
Thus,
The probability that Mike will guess Kelly's birth date correctly (ignoring leap years) is [tex]\dfrac{1}{365} \approx 0.00027[/tex]
Learn more about probability here:
brainly.com/question/1210781
