Statistics and Probability Extra Probability PracticeName:______

I. Describe Each Sample Space (Tell me what the possibilities are)

1) You are flipping a coin twice in a row. What is the Sample Space?

S =

N =

2) You are flipping a coin three times in a row. What is the Sample Space?

S =

N =

II. Multiplication Rule

5) Your ID# at UMW must consist of 3 digits (0-9) and 2 letters.

a) How many combinations are possible?

b)How many combinations are possible if the first digit must be 4 and the last letter must be L?

c)How many combinations are possible if no digits or letter are repeated?

6) Your I Tunes Password consists of 5 letters followed by 2 digits (0-9). The letters are case sensitive, so a capital letter and a lowercase letter are considered different.

a)How many combinations are possible?

b)How many combinations are possible if no digits are repeated?

c)How many combinations are possible if all the letters are A or a?

7) There are 14 Women and 10 men are in the NHS. They must choose a President, Vice President, Secretary, and Treasurer.

d)How many combinations are possible?

e)How many combinations are possible if the President is a Man?

f)How many combinations are possible if the President is a Man and the VP is a woman?

g)How many combinations are possible if the President and Treasurer are men and the VP and Secretary are women?

8)There are 4 red cars and 4 blue cars that are parked side by side in the PVHS parking lot.

  1. How many ways can they line up?
  1. How many ways can they line up in the first car must be blue?
  1. How many ways can they line up if they alternate Red, Blue, Red, Blue…etc.

III. Find the Probability of… (Remember that probability is in a decimal or fraction!)

When Rolling one die, what is the probability of…

9)Rolling a 6?

10)Rolling a 4?

When Roling two dice, what is the probability of…

11)Rolling a 2?

12)Rolling a 6?

13)Rolling a 5?

14)Rolling an 11?

When Pulling from a Standard deck of cards (that’s 52 cards folks), what is the probability of…

15)Pulling an Ace?

16)Pulling a diamond?

17)Pulling a red card?

18)Pulling a 6 or a 7?

19)Pulling a 10 and a King?

20)Pulling a 2 and a 5 on two successive pulls without replacement?

21)Not Pulling a 10?

IIII. Permutation and Combination

1. 2. 3.

4. 5. 6.

Decide whether it is a permutation or a combination.

7. The SCA is electing officers. There are 15 members. In how many ways to choose the following:

a) President, Vice President, and Treasurer

b) A committee of 5 where all members have equal standing.