|
|
Probability Lab Worksheet
I. Pre-Viewing Activity
1. Toss a coin 10 times, counting the number of heads. Repeat this trial several times. If you toss the coin 100 times, how many times should it come up heads? Why?
2. If you toss 2 coins 20 times, what is the probability of getting exactly one head? _________
Two heads? _________
At least one head? _________
3. If you roll one die, what is the probability you will roll a 2? _________
4. If you roll both dice, what is the probability the sum of two dice will be 6? _________
5. What is the most common sum possible when rolling two dice? _________
II. Definition
Permutation:
Combination:
III. Combinations
1. 4C2 = _________
2. 4C3 = _________
3. 5C2 = _________
4. 5C3 = _________
5. 5C4 = _________
6. 5C5 = _________
Make a generalization:
nCr =
IV. Problems:
1. In the cafeteria line, you can choose one of four meats and two of 6 side dishes. Assuming you don't choose the same side dish twice, how many different combinations are possible?
2. While in the dark, I select two socks at random from a drawer containing five different pairs. What is the probability that my socks will match?
3. A box contains 100 light bulbs of which 10 are defective. Two bulbs are selected at random without replacement. What is the probability that both are defective?
4. You are going on a two week summer camp and must pack light. If you don't want to wear the same outfit twice, what is the least number of shorts and shirts you will need? (You will be able to wash your clothes, so you can reuse items seperately).
5. A card club has 12 members (6 married couples). Four members are randomly selected for the club executive. Find the probability that the members of the executive are all of the same sex.
6. In poker, a straight flush consists of 5 cards in one suit with consecutive denominations. What is the probability of getting a straight flush?
Coin Tossing Simulation
