Probability with Permutations and Combinations

A student identification card consists of 4 digits selected from 10 possible digits from 0 to 9. Digits cannot be repeated. Find the probability that a random generated card has the exact number 4213. 

There are 12 puppies for sale at the local pet shop. Four are brown, four are black, three are spotted, and one is white. What is the probability that all the brown puppies will be sold first?

Eli and Mia, along with 30 other people, sign up to audition for a talent show. Contestants are called at random to perform for the judges. What is the probability that Eli will be called to perform first an Mia will be called second?

What is the probability that a 7-digit telephone number with the digits 5,1,6,5,2,1, and 5 is the number 550-5211?

You purchase a box of 8 crayons. If the crayons are packaged in a random order, what is the probability that the crayon on the far left is red?

Five hundred boys, including Josh and Sokka, entered a drawing for two football game tickets. What is the probability that the tickets were won by Josh and Sokka?

A set of alphabet magnets are placed in a bag. If 5 magnets are drawn from the bag at random, what is the probability that they will be the letters a,e,i,o, and u?

What is the probability that a license plate using the letters C, F, and F and numbers 3,3,3, and 1 will be CFF3133?

If the 7 charms on the bracelet shown are arranged at random, what is the probability that the arrangement shown is produced?

Two people are chosen randomly from a group of ten. What is the probability that Jimmy was selected first and George second?