I have a cup with 5 red M&Ms, 4 yellow, and 3 green ones.  I draw six at random (without replacement, order does not matter). How many ways are there to draw six at random which give two of each color? For this problem, it can help to imagine that the M&Ms are numbered 1 - 12, with number 1-5 red, 6-9 yellow, and 10-12 green.  After that, proceed like we did with Poker hands.

For a fishing trip, Yolanda is going to choose lures to put in her tackle box. She has 7 lures that are buzzbaits and 8  that are spinnerbaits. In how many ways can she choose 7 lures if 5 or more must be spinnerbaits?

The Schmidts are considering the purchase of 3 paintings for their home. Their decorator advises that the selection be made from a collection of 10 landscapes or from a collection of 8 historical paintings. In how many different ways can they select 3 paintings from one collection or the other?

For his Carnival project, Chester designed a game where players pick a random marble from a bag. In the bag there are 2 pink marbles, 10 green marbles, and 8 white marbles. If players draw a pink marble they get a large candy bar prize, if they draw a green marble they get a small lollipop prize, and if they draw a white marble they get a fist bump. Chester purchased a set of 16 candy bars for $12 and a bag of 200 lollipops for $20. Answer the following questions: What is Chester's expected cost per game? $  If Chester plans for 40 people to play his game, How many candy bars should he expect to give out?  How many lollipops should he expect to give out?

Each student's locker combination at Guion Creek Middle School contains three numbers ranging from 0 to 49 Alex and Dante are playing a game with their locker combinations.  Alex is giving Dante hints to his locker combination to see if Dante can guess the combination   A.  Alex's first hint is that the first number in the combination is a 3,4, or a 5.  How many possible choices are there for the 1st Number?   B.  The hint for the second number is that it is NOT a 3 or a 4.  How many possible numbers are there for the 2nd number?   C.  The hint for the third number is that it is an odd number.  How many possible numbers are there for the 3rd number? D. How many possible combinations are there? E.  What is the probability that 3:32:7 is Alex's combination?  leave your answer as a fraction with NO spaces Answer for A:____________ Answer for B:______________ Answer for C:____________ Answer for D:________________ Answer for E:_________________

There are three light bulbs in a room, and three light switches outside the room. You are outside, and want to match up which switch goes with which light bulb. You can only travel into the room once, and cannot come back in again. You can do anything you want upon entering the room. How can you set the situation so that you will know which switch goes with which light bulb?

How many different baseball bating line ups are possible if the coach wants to put one of the three best batters in the third position and the pitcher in the fifth position?

You are making a string of coloured balloons as a decoration for the formal. If you have five green, six gold, and four white balloons, in how many ways can you arrange them along the string?

Two players, R and C, each have two cards. R has one black card with the number 4 written on it and one red card with the number 2. C has a black card with a 3 written on it and a red card with a 1. They each select one of their cards and simultaneously show the cards. If the cards are the same color, R gets, in dollars, the difference of the two numbers shown. If the cards are different colors, C gets, in dollars, the smaller of the two numbers shown. Write the payoff matrix of this game. с R Black 4 Red 2 Black 3 Red 1

Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.