If there are 2 black socks and 10 white socks in a drawer, what is the probability that I pull out two socks and both are black?

There are 9 women and 8men with a chance to be on a game show. The producer of the show is going to choose 10 of these people at random to be contestants. What is the probability that the producer chooses 4 women and 6 men?  Is this using the C and P and doing it on the calculator?

Michael is to randomly pick between two jars that contain coins.  The first jar contains 2 pennies, 3 nickels, and 5 dimes. The second jar contains 7 pennies, 3 nickels, and 4 dimes. After a jar is selected, a coin is then picked from that jar. If the selected coin is a nickel, what is the probability that it came from the second jar?

A gunball machine contains 5 red gumballs, 3 blue gumballs, and 4 yellow gumballs. You put a coin in the machine, and two gumballs come out one after the other. What is the probability that the first gumball that comes out is blue and the second gumboil is red?

A bag contains 7 red marbles, 2 blue marbles, and 1 green marble. If a marble is selected at random, what is the probability that it is not blue?

If there are 23 people in a room, and 5 of them are wearing blue shirts, what is the probability that a randomly selected person in the room is wearing a blue shirt?