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
[tex]P=\frac{13}{52}[/tex][tex]P=\frac{1}{4}=0.25[/tex]
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
[tex]P=\frac{4}{6}[/tex][tex]P=\frac{2}{3}=0.666[/tex]
then the probability is 0.67 or 67%
