Question

what is the probability of a month having 31 days in a year

Answer 1

Answer:

The total number of months in a calendar year is 12, and the months that have 31 days are January, March, May, July, August, October, and December, so there are 7 months that have 31 days. Thus, the probability of selecting a month that has 31 days will be equal to 7 divided by 12.

Answer 2

The probability of a month having 31 days in a year 7/12

Given :

A year

To find :

The probability of a month having 31 days in a year

Solution :

Step 1 of 3 :

Find total number of possible outcomes

There are 12 months in a year

So total number of possible outcomes = 12

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that a month have 31 days in a year

In a a year the months January, March, May, July, August, October, and December have 31 days

Number of months = 7

So total number of possible outcomes for the event A is 7

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{7}{12} }$

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