1. Drawing a diamond from a shuffled deck of 52 cards
the probability of drawing a diamond is giving for the number of diamond of the deck out of the total amount of cards in the deck
since a deck has 13 diamonds
then
![P=(13)/(52)](https://img.qammunity.org/2023/formulas/mathematics/college/znpys5kep7vjh3t6gnkbbpzei8z8d3mh30.png)
![P=(1)/(4)=0.25](https://img.qammunity.org/2023/formulas/mathematics/college/uwka54dvdq7t467666xtcnhl5yjqgcoube.png)
then the probability is 0.25 or 25%
2. roll a dice and observing a number greater than 2
a dice has 6 sides
since this is a FAIR dice each side has the same probability
the number that are greater than 2 are
3,4,5,6
this means 4 out of 6 sides are greater than 2
then the probability of observing a number greater than 2 is
![P=(4)/(6)](https://img.qammunity.org/2023/formulas/mathematics/college/7l2xkolzferhikk3eogp0k9q1nfu2olmjg.png)
![P=(2)/(3)=0.666](https://img.qammunity.org/2023/formulas/mathematics/college/7fvyc1q8h9v9nvnaa82aaq9ppgcw5sybke.png)
then the probability is 0.67 or 67%