7-9-2020 Review

From 8 people, how many different groups of 3 can be made?

There are 7 different fruits in a smoothie store. 5 of these fruits are to be blended in a smoothie. How many different smoothies are possible this way?

A movie critic thinks about 10 moves he watched recently. He wants to come up with a top 5 list, ranking the 5 from 5th to 1st place. How many different rankings of the ten movies into the top 5 are possible?

There are 4 different fruits and 7 different vegetables. I need to pick out 2 different fruits and 2 different vegetables. How many ways can I select these?

There are 4 different pies, 5 different donuts, and 6 different cookies at a bakery. I'm going to buy 3 pies, 3 donuts, and 3 cookies for everyone. How many different ways could I buy everything?

There are 10 cards, each labeled with a number from 1 to 10 in a deck. I'm playing a game with the cards where in order to win, I need to first draw an even numbered card, then I need to draw an odd numbered card in that order. What is the chance of winning like this? (use a / for fractions. make sure final answer is simplified)

I play a game where I have 1/4 chance to win. If I try this game three times, what is the chance I don't win a single time?

I roll two dice. (1-6) What is the probability both rolls add up to a sum of 7?

I flip 3 coins. What is the chance I land either 2 or 1 heads total?

A random group of 3 people will be chosen from 9. What is the probability the group will be Bobby, Tom, and Harry or Sally, Hailey, and Gabby?