Question

what is the probability of that your birthday falls on Sunday this year ?​

Answer 1

Number of Sundays this year (Number of favorable outcomes) = 52

Total number of days this year (Total number of outcomes) = 365

We know that probability of an event = $\frac{Number\:of\:favorable\:outcomes}{Total\:number\:of\:outcomes}$.

Here, probability of my birthday falling on a Sunday would be $\frac{Number\:of\:Sundays\:this\:year}{Total\:number\:of\:days\:this\:year}$.

Therefore, substituting these values, probability of my birthday falling on a Sunday is $\frac{52}{365}$.

Answer 2

Answer:

Number of days in a year (d) - 365

Number of Sundays in a year (s) - 52

$probablity \: = \frac{no. \: of \: favorable \: outcomes</em></strong><strong><em>(</em></strong><strong><em>s</em></strong><strong><em>)</em></strong><strong><em>}{total \: no. \: of \: possible \: outcomes</em></strong><strong><em>(</em></strong><strong><em>d</em></strong><strong><em>)</em></strong><strong><em>}$

$probablity = \frac{52}{365 } \\ \: \: \: \: \: \: \: \: \: \: \: \: = 0.14$