Question

What is the probability that 10th of any month is a monday?

Answer 1

Probability that the 10th day of a randomly chosen month is Monday = $\dfrac{1}{84}$

Step-by-step explanation:

Since,  the name of the month is not mentioned.  

• So, the probability for selecting a month randomly from 12 months = $\dfrac{1}{12}$

We can understand that 10th day will be any of the day from Monday to Sunday.  

Therefore, probability that 10th day of the month being Monday =  $\dfrac{1}{7}$

Now, by the theory of multiplication in Probability, we proceed further as;

 Thus, probability that the 10th day of a randomly chosen month is Monday = $\dfrac{1}{7}\times \dfrac{1}{12}= \dfrac{1}{84}$