Basic Concepts on Probability.
Suppose you have the experiment of pulling one card from a deck.
a) Write the sample space.
b) Find the possibility of getting a queen.
c) Find the probability of getting a nine.
d) Find the probability of getting a spade.
e) Find the probability of getting a queen or a nine.
f) Find the probability of getting a queen and a nine.
g) Find the possibility of getting a queen or a spade.
h) Find the possibility of getting a queen and a spade.
i) Find the possibility of getting a queen given that the card is a spade.
j) Are two events queen and nine mutually exclusive? Why or why not?
k) Are two events queen and spade mutually exclusive? Why or why not?
l) Are two events queen and spade independent? Why or why not? Validate using the formula that is used to prove if two events are independent or not.