Question

what is the probability of your birthday falls on the 30th of any month of the year 2021 ?
a) 4/365
b)1/3
c)5/365
d)1/12







Expecting answer with clear explanation​

Answer 1

Answer:

$(d) \: \frac{1}{12}$

Because it can be any month of the year.

Answer 2

Given: Your birthday falls on the 30th of any month of the year 2021.

To find: The probability of your birthday falling on the 30th of any month of the year 2021.

Solution:

• Probability of an event is the chance of its occurrence.
• It is obtained by dividing the total number of favourable outcomes by the total number of possible outcomes.
• A year has 12 months out of which 11 have the 30th. So, the number of favourable outcomes is 11.
• The number of total possible outcomes is 365 since the year 2021 isn't a leap year.
• Hence, the probability is

        $P(E) = \frac{11}{365}$

Therefore, the probability of your birthday falling on the 30th of any month of the year 2021 is 11/365.