Probability/Odds/Counting Principal/Permus and Combos

You buy a car and choose from 4 colors, 2 types of transmission, 5 interior styles - this is

Odds against choosing orange

you have to paint using only 3 of these colors. How many ways can this be decided?

What is the probability of pulling out a red marble?

Odds in favor of spinning a number less than 4

In this example (5 seats from 10 students) how many possibilities are there?

A letter is picked from the word Mississippi. What is the probability the letter is M or i?

P(factor of 9)

How many combinations of characters can there be (4 players, no repeats)

4 colors, 2 types of transmission, 5 interior styles -- how many different possibilites

Odds in favor of choosing 8

Solve

How many different three-student study groups can be formed from a classof 15?

Pick a number, then a letter -- how many pairs can there be?

Choose a team of 3 -- how many combinations?

5 students are chosen for senate from a pool of 10 candidates. This is an example of: 

You are at a theme park and can only ride 4 more rides of the 7. How many ways can you ride?

P(7 or 9)

What is the probability of rolling a number greater than 9 on two dice?