1) Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containingthreered marbles,fivegreen ones,fourwhite ones, andonepurple one. She grabssevenof them. Find the probability of the following event, expressing it as a fraction in lowest terms.

She has all the red ones.

2) Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containingthreered marbles,fourgreen ones,threewhite ones, andtwopurple ones. She grabssevenof them. Find the probability of the following event, expressing it as a fraction in lowest terms.

She has at least one green one.

3) Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containingfourred marbles,twogreen ones,fourwhite ones, andonepurple one. She grabseightof them. Find the probability of the following event, expressing it as a fraction in lowest terms.

She does not have all the red ones.

4) The Sorry State Lottery requires you to selectfivedifferent numbers from 0 through61. (Order is not important.) You are a Big Winner if thefivenumbers you select agree with those in the drawing, and you are a Small-Fry Winner iffourof yourfivenumbers agree with those in the drawing. (Enter your answers as exact answers.)

What is the probability that you are either a Big Winner or a Small-Fry Winner?