Find the set of outcomes that occur when we flip 3 coins and obtainatleasttwotails.

Enter the outcomes using H and T to represent heads and tails respectively. Forexample, an outcome of two heads tosses followed by one tails toss would be HHT.

Suppose that 4 cards from a standard deck of 52 playing cards are successively drawn at random without replacement.

(a) Find the probability that all 4 are kings.

(b) Find the probability that all 4 are diamonds.

(a) The probability that all 4 are kings is

A marble is selected at random from a jar containing 5 redmarbles, 6 yellowmarbles, and 4 green marbles. Find the probability that

a) the marble isred,

b) the marble is notyellow,

c) the marble is either red or green,

d) the marble is neither red nor green.

The probability that the marble is red is

A die is rolled five times and the order of the rolls is considered. In how many ways can two 1's, two 2's, and one 3 occur?

The number of ways two 1's, two 2's, and one 3 can occur is

A poker hand consists of 5 cards drawn from a deck of 52 playing cards. The hand is said to be "threeofakind" if threecardsofthesamefacevalue andtwocards arenotofthisface valuenorthesameaseachother.For example, three10's,one2,andone3formathreeofa kind.How many such hands arepossible?

The number of possible hands are