1
Using a six-sided die, the probability of rolling an even number is 1:3
True or False
False
The formula for determining probability is Probability = all outcomes / favourable outcomes
True or False
False
The probability that an event happens is 4/12. What is the probability that the event will not happen?
8/12
12/12 - 4/12 = 8/12
If you spin a spinner 30 times, how many times might you expect it to land on red?
Blue - 1/3
Red - 1/3
Green - 1/3
10
do cross multiplication
1/3 x 30 = 10
There are 14 marbles in a bag: 4 red, 4 orange, 5 green, and 1 blue.
You take one marble out of the bag. What is the probability of getting a red or a blue marble?
5/14
Each letter of the word M A T H E M A T I C S (11 letters) is written on a separate card and placed in a bag. David draws one card from the bag. What is the probability of her drawing a letter that is a vowel?
4/11
The first letter of each month is written on a separate card, and the cards are placed in a bag. When you draw a card from the bag, what is the probability of drawing an M? Remember to reduce your answer to the LCD lowest common denominator.
2/12
1/6 is the LCD Lowest common denominator
What is the probability of rolling an even number on a six-sided die in ratio form?
1:2
3/6
1/2 is the LCD lowest common denominator
An eight-sided number cube is numbered 3, 4, 5, 6, 7, 8, 9, 9 (8 total numbers). What is the probability that the number rolled is divisible by 3, represented as a percentage?
50%
3, 6, 9, 9 (4 numbers)
(8 total numbers)
4/8
1/2 is the LCD lowest common denominator
To simulate the gender of an unborn baby, you could use which one of the following?
a coin, a deck of playing cards, a number cube, a spinner with 4 sections
a coin
Every day, Susan goes to a restaurant for lunch. She orders a salad and a soup, at random. There are 4 different salad choices and 3 different soup choices. If she has a different lunch each day, how long will it take for her to have tried all of the possible/different combinations?
12 days
If you spin a spinner that is divided into 4 equal sections, and then roll a six-sided die, how many possible outcomes are there?
24 possible outcomes
4 x 6
Jeff saves 75% of the shots on goal (succeeds). If Jeff faces a total of 20 shots in his next game, how many goals can he expect to let in (fails)?
75% = 0.75 = 3/4
5
do cross multiplication
75% x 20 = 15 (15 saved/succeeds)
or
3/4 x 20 = 15 (15 saved/succeeds)
so the unsaved/fails are 5
A __________ __________ is a successful result in a probability experiment.
favourable outcome
You roll 2 six-sided dice (2 dice). What is the probability of rolling a sum of (adding) 7?
1/6
1 dice has 6 sides
2 dice have 12 sides (combined).
12 is your denominator.
Add 1, 2, 3, 4, 5, 6 and 1, 2, 3, 4, 5, 6
to get a 7.
1st combination: 1 + 6 = 7
2nd combination: 2 + 5 = 7
3rd combination:3 + 4 = 7
3 possible combinations to make 7
Final Answer:
3/12 or 1/4 LCD lowest common denominator
A tree diagram is useful for organizing ____________________.
outcomes
A tree diagram is useful for organizing ____________________.
independent events
You draw from a deck of cards, and then flip the coin. This is an example of two
____________________.
independent events
Probability can be expressed in different forms including: as a ___________, a ___________, a _________, or a ___________.
ratio, decimal, fraction, percent
Mila has 5 cards (6, 7, 8, 9, 10) and a six-sided die.
a) Draw a Tree Diagram of Mila drawing a card, and then rolling the die.
b) What are the chances of Mila rolling a 2 with the die and drawing the 7 of diamonds from the cards?
30 possible total outcomes, Probability (rolling a 2 and drawing 7 of diamonds) = 1/30
Define the word OUTCOME.
any possible result of a probability experiment
Define the word RANDOM.
when every result has an equal chance of occurring
Define the word FAVOURABLE OUTCOME.
a successful/favoured result in a probability experiment
Define the word PROBABILITY.
the likelihood of an event happening
Liam goes to a restaurant for lunch. He can order one food item and one drink item from the menu below.
a) What are all the possible combinations that Liam can order for lunch?
b) What is the probability Liam will order toast and juice?
______________________
1) salad
2) pita
3) beans
4) toast
5) onion rings
______________________
A) juice
B) water
______________________
All possible outcomes: 10, Probability (toast and juice) = 1/10
5 food options
2 drink options
5 x 2 = 10