Review of Probability and Stats

Part A: Probability Date: _________________1. State all of the possible outcomes of:

a) Playing a regular season game of soccer

b) Flipping a coin

c) Rolling a 6-sided die

d) Selecting a Smartie from a box containing red, blue, yellow and brown Smarties

2. Create a tree diagram to show ALL of the possibilities when flipping a coin and then rolling a die.

3. Suppose a jar contains 3 red marbles, 7 white marbles, 5 blue marbles, and 4 yellow marbles.

a) If a marble is drawn at random from the jar, what is the probability that it will be white?

b) If a marble is drawn at random from the jar, what is the probability that it will be red or blue?

4. When flipping 3 coins, a) What is the probability of only 1 tail?

b) What is the probability of 3 heads?

c) What is the probability at least 1 tail?

5. Using a standard deck of 52 cards, calculate the following probabilities: a) Selecting a heart

b) Selecting a king

c) Selecting a 4 or a red card

d) Selecting a black card that is not a face card

6. You roll 2 dice. Calculate the following probabilities: a) Rolling a sum of 9?

b) Rolling doubles?

c) Rolling a sum of 8 or more?

d) An odd sum?

e) A multiple of 3?

f) Rolling a sum of 7 or 9?

7. Desiree is getting ready for school and she needs to choose a uniform to wear. She has the following bottoms to choose: shorts, blue pants, and beige pants. She has the following tops: a sweater, a white shirt, and a blue shirt. Desiree is always in uniform and any combination of tops/bottoms is equally likely.

a) What is the probability that Desiree will wear blue pants with a white shirt? (Include a tree diagram to help you solve)

b) What is the probability that Desiree will wear her beige pants with either the sweater or the blue shirt?

8. Marek is playing poker against Jeff. (52 cards, just them playing, NO community cards)Marek has the Ace of Diamonds, Ace of Hearts, King of Spades and King of Clubs.

Jeff has the Jack of Spades, Jack of Hearts, Jack of Clubs and a 2 of Hearts.

Each of them gets one more card.

a) Three of a kind beats any pair. What cards will allow Marek to win the game?

b) What is the probability that Marek will win this game? (get one of those cards)

c) What is the probability that Jeff will win this game?

Part B: Statistics

1. Fill in the blanks with the correct word.

a. If a set of data is very spread out, would you expect the standard deviation to be large or small _________________.

b. Subtracting the lowest value from the highest value in a set of data gives the ______________

c. The standard deviation is the square root of the _________________.

d. When conducting a survey, prejudice in favor of or against one thing, person, or group compared with another, usually in a way considered to be unfair is called _____________.

e. The number that occurs most often in a set of data is called the ______________

2. 1Calculate the mean, median and mode for the following sets of data (show work).

Set 1: 23, 24, 22, 14, 24, 19, 22, 23, 24,

_____________________________________________

Mean Median Mode(explain which value(s) are involved)

Set 2:

Mean

Median(explain which value(s) are involved)

Mode

Value Frequency

27 3

28 5

29 9

30 6

31 1

3. Find the mean (average), variance and standard deviation for the following set of data.

Mean, x = _________________________________

=

Data value x - x ( x−x )2

7715557364849573458975

Total:

Variance:

S.D. (squareroot the variance):