A bag contains the letters A, B, C, D and E. Two letters are randomly drawn out of the bag without replacement.
Construct a probabilty tree showing all possible outcomes:
Find the probability A is drawn followed by B drawn.
Find the probability that two A's are drawn.
Find the probability C is not drawn.
Find the probability that D is drawn.
Find the probability that E is drawn and B is not.
Find the probability that C or D is drawn?
Find the probability that neither C nor D are drawn.
Buzz is dealing cards from a regular deck. How many possible outcomes are there if he deals one card each to:
A carton contains a dozen eggs, of which $4$4 contain no yolk.
If $3$3 eggs are chosen at random for a cake, what is the probability that they all have no yolk?
A class contains $5$5 girls and $6$6 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?