Now You Try!

Counting Techniques

and Probabilities

1) Cards numbered 1-10 are shuffled and dealt face down. What is the probability that they are in order?

2) The composition of the Senate of the 114th Congress is 54 Republicans, 2 Independents, and 44 Democrats. A new committee is being formed to study ways to benefit the arts in education. If 3 Senators are selected at random to form a new committee, what is the probability that they will all be Republicans?

3) A drawer contains 11 identical red socks and 8 identical black socks. Suppose that you choose 2 socks at random in the dark.