Name: _______________________ Date: ______________
Review for Probability Test Period 7
There are 2 red pens, 3 blue pens, 1 black pen, and 4 green pens in a desk drawer. You randomly choose one. Find each probability as a FRACTION in SIMPLEST FORM. Total Pens: __________
1) P (red) ____________ 2) P (black) ____________ 3) P (purple) ____________ 4) P (not green) ____________ 5) P (black or red) __________ 6) P (orange) _________ There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. You choose a marble, REPLACE it, and choose another. Find each probability.
Total Marbles: _____________
To find the probability of 2 or more events you: __________________ (add or multiply) 7) P (green and black) 8) P (green, red) 9) P (red, red)
Using the same example above, you choose a marble, DO NOT REPLACE it, and choose another. Find each probability.
Total Marbles: ________________
Use the Fundamental Counting Principle to answer questions 13-16.
Show all work!
13) Notebooks come in
four colors
: red, blue, green and purple. They also come in
two sizes
, 5-subject and 3-subject. How many possible outcomes are there?
14) A continental breakfast has a choice of
toast, muffin, or a bagel
AND a
choice of
coffee, milk or apple juice
. How many possible outcomes are there?
15) A
penny
, a
nickel
, and a
dime
are tossed. How many outcomes are possible?
List all the outcomes you can order for breakfast by drawing a tree diagram.
17) The Breakfast at Strawberry Place has a choice of Eggs, French toast, or Pancakes with a choice of Ham or Bacon and to drink a choice of Juice or Coffee.
EGGS FRENCH TOAST PANCAKES
18) How many total outcomes are possible for breakfast? ___________________
19) Confirm this using the Fundamental Counting Principle. 3 x 2 x 2 = _____________
*is your answer to #18 and #19 the same? ______________
20) What is the probability, written as a fraction, that you will order Eggs, Bacon and Juice?
List all the outcomes you can spin by drawing a tree diagram.
22) A spinner with 3 equal sections: Red, Yellow and Green is spun TWICE. RED YELLOW GREEN
23) How many total outcomes are there? ___________________
24) Confirm this using the Fundamental Counting Principle. 3 x 3 = _____________
*is your answer to #23 and #24 the same? ______________
25) What is the probability, written as a fraction, that you will spin (red, red)?
26) What is the probability, written as a fraction, that you will spin (yellow and green)?
28) Out of 60 people surveyed at the movie theater 45 people said they bought popcorn. If there were 420 people at the movie theater how many would you expect to buy popcorn? Let x = __________________________
Hint: Set up a proportion KEY: part whole=
is of=
% 100
Sentence:
29) The probability that people buy candy at the movies is 45%. If there are 160 people in the theater, about how many bought candy?
Let x = __________________________
Hint: Set up a proportion KEY: part whole=
is of=
% 100
This list shows the names of 25 students entered in a contest to win a free dinner at a local restaurant. Each student’s name is written on a piece of paper and placed in a box.
Bob Patrick Renee Dani Maura
Paul Lucas Ayah Chris Eliza
Yesly Larissa Samuel Marty Vicky
Shannon Mary Ned Alan Gary
Holly Pete Marco Edwin Otis
Total Names: __________
Find each probability. Write your answer as a FRACTION, DECIMAL & PERCENT. Remember: To change a fraction to a decimal, divide the numerator by the denominator. To change a decimal to a percent, multiply by 100.
30) P (a name that starts with M) = ________, ________, ________ 31) P (a name that starts with J) = ________, ________, ________ 32) P (a girl’s name) = ________, ________, ________
Dani and Paul decide to flip a coin 10 times to determine who gets the last slice of pizza. Dani chooses heads and Paul chooses tails. After 10 coin flips, these were the results:
heads, tails, tails, heads, tails, tails, heads, tails, heads, tails Total Coin Flips: __________
Find each probability. Write your answer as a FRACTION, DECIMAL & PERCENT. Remember: To change a fraction to a decimal, divide the numerator by the denominator. To change a decimal to a percent, multiply by 100.
33) P (heads) = _________, _________, _________ 34) P (tails) = _________, _________, _________
Describe the likelihood of an event as: impossible, unlikely, equally likely, likely or certain.
36) You flip a coin. The coin lands heads up. ____________________________
37) A bowl contains 14 red marbles and 3 green marbles. You pick a red marble. ___________________________
38) A spinner has 10 equal sections marked 1 through 10. You spin and land on a number greater than 0. _________________
39) A hat contains pieces of paper marked with the numbers 1 through 16. You pick an even number. _______________________________
Decide if the following events are independent or dependent. Then find the probability. 40) A bowl of fruit is on the table. It contains 2 apples, 4 oranges, and 3 bananas. David and Eric come home from school and randomly grab one fruit each. What is the probability that both grab apples?
DEPENDENT or INDEPENDENT Total pieces of fruit: ____________
David grabs an apple: 2
9 Eric grabs an apple: 1 8
Find the probability by multiplying the two probabilities.