Represent the sample space for days of work week.

Represent the sample space for flipping two fair coins.

Represent the sample space for the following:

Pathways from start to room $A$ or $B$(see diagram) 

Based on the sample spaces in Rolling a $2$ on a four-sided die. Find the theoretical probability.

Based on the sample spaces in days of working week, find the theoretical probability of the following;

Taking a class on Tuesday or Wednesday during the work week.

Based on the sample spaces in flipping two coins, find the theoretical probability of the following :

 A heads and tails combination showing when flipping two coins.

Based on the sample space in the given figure, find the theoretical probability of ending in room $A$.

A fair coin is tossed $72$ times. A Head comes up $12$ times. Find the experimental probability of tossing a fair coin and having it land on heads. [Find your answer upto four decimal points]

A fair coin is tossed $72$ times. A head comes up $12$ times. Find the experimental probability of tossing a fair coin and having it land on tails up to two decimal places.