List all the possible outcomes when a coin is tossed.
List all the possible outcomes when a standard six sided die is rolled.
A card is selected from a standard deck of 52 cards:
List the sample space for the suits that can be picked from the deck of cards.
List the sample space for the type of 'picture cards' that can be picked from the deck.
List the sample space for the colours of cards that can be picked the deck.
How many different colour outcomes are there in the sample space?
If Manpreet picks a whole number between (and including) 3 and 7, list the sample space of possible numbers Manpreet may have picked.
Irene picks an even number at random between (and including) 1 and 11. List the sample space of possible numbers Irene could pick.
If Jack picks an odd number between (and including) 4 and 8, write down the sample space.
Consider the given spinner:
List the sample space for the possible colours that could occur if the spinner is spun.
Uther rolled a standard six-sided die.
List all the numbers that the die may land on.
Uther rolled a number less than 3. List all the numbers that he could have rolled.
A standard six-sided die is rolled.
List the sample space.
List the sample space for rolling a number strictly less than 3.
List the sample space for rolling a number divisible by 3.
List the sample space for rolling an even number.
Ben has 3 shirts, each in a different colour: crimson (C), pink (P) and white (W), and 4 ties, each in a different colour: blue (B), grey (G), red (R) and yellow (Y).
Complete the table to show the sample space of the possible combinations Ben could wear.
How many different combinations are possible?
| C | P | ||
|---|---|---|---|
| B | C,B | P,B | |
| G | G,W | ||
| R | P,R | W,R | |
| C,Y | P,Y |
The following jar contains 7 red, 3 blue and 10 green marbles:
If a marble is drawn out of the jar without looking, list the sample space of all the possible colours that the marble might be.
Here is the pizza menu from Mario’s Pizzeria:
Which option is NOT in the sample space of pizza topping options: Seafood, Mexicana, Satay chicken, or Cheese?
A spinner has the numbers 5 to 10 marked on it. Which event is impossible to spin: 6, 8, or 3?
Vincent rolls a twelve-sided die and writes down whether he rolls 6 or more. If he does, he writes "yes", otherwise he writes "no".
List all possible outcomes that correspond to the event where he writes "yes".
Rochelle draws a card from a standard 52-card deck:
If an Ace is considered to be the same as the number 1:
How many cards satisfy the event 'King of spades'?
How many cards satisfy the event 'Ace'?
How many cards satisfy the event 'Heart'?
How many cards satisfy the event 'Less than 4'?
How many cards satisfy the event 'Red card'?
How many cards satisfy the event 'Blue card'?
How many cards satisfy the event 'Red or black card'?
There are 20 marbles in a jar: 7 red, 10 green and 3 blue. If a marble is chosen at random:
What colour marble is most likely to be chosen?
What colour marble is least likely to be chosen?
There are 30 marbles in a jar: 6 yellow, 8 green, 7 blue and 9 red. If a marble is chosen at random:
What colour marble is most likely to be chosen?
What colour marble is least likely to be chosen?
How many marbles satisy the event 'Picking a red marble'?
There are 40 marbles in a jar: 11 red, 7 blue, 9 green, 5 yellow and 8 orange. If a marble is chosen at random:
What colour marble is most likely to be chosen?
What colour marble is least likely to be chosen?
How many marbles satisfy the event 'Picking a green marble'.
State the likelihood of the following events as either: Impossible, Unlikely, Likely, Certain or Even chance.
Winning the lottery.
Scoring 140\% on an exam.
Flipping tails with a coin.
Next week will have 8 days.
A number strictly greater than two is rolled with a standard die.
A number greater than 5 is rolled with a standard die.
When a standard die is rolled we get a number from 1 to 6.
If a horse is "odds-on" to win the race.
Yuri plays a game using the 8-sided spinner shown. Using the terms: Impossible, Unlikely, Likely, Certain or Even chance:
State the likelihood that he spins a number less than 15.
State the likelihood that he spins the same number three times in a row.
State the likelihood that he spins an even number.
State the likelihood that he spins the number 4.
State the likelihood that he spins a number between 5 and 14.
A game in a classroom uses the spinner shown. Using the terms: Impossible, Unlikely, Likely, Certain or Even chance:
State the likelihood of spinning an odd number.
State the likelihood of spinning a 2.
State the likelihood of spinning a number less than 8.
In a car race, there are 48 Holdens and 16 Fords. If each car is equally likely to win, determine whether the following statements are true or false:
Holdens are three times as likely to win as Fords.
The chance of a Holden or Ford winning is equally likely.
Holdens are twice as likely to win as Fords.
James has a bag of eleven counters numbered 1 to 11. Mae has a bag of twenty counters numbered 1 to 20. Each chooses a counter from their own bag without looking. Determine whether the following statements are true or false:
James is more likely than Mae to choose a counter numbered 11.
They are equally likely to choose a number less than 3.
James is more likely than Mae to choose an odd number.
Mae is less likely than James to choose a counter numbered 16.
The following spinner has 8 equal sectors: 3 sectors are red, 2 sectors are green, 2 sectors are yellow and 1 sector is blue.
Is the spinner more likely to land on red or yellow?
Which colour(s) are the spinner equally likely to land on?
What colour is the spinner least likely to land on?
The following spinner has 10 equal sectors: 3 sectors are yellow, 3 sectors are green, 2 sectors are red, 1 sector is purple and 1 sector is blue.
Is the spinner most likely to land on green or purple?
Which colours are the spinner most likely to land on?
What colour(s) is the spinner least likely to land on?
The following spinner has 13 equal sectors: 4 sectors are green, 3 sectors are yellow, 3 sectors are red, 2 sectors are blue and 1 sector is purple.
Is the spinner most likely to land on green or blue?
Which colour(s) are the spinner equally likely to land on?
What colour is the spinner least likely to land on?
State the likelihood that corresponds to each of the following probability values using one of the following terms: Impossible, Unlikely, Likely or Certain.
0.1
1
0
0.6
\dfrac{9}{10}
\dfrac{2}{10}
10\%
70\%
\dfrac{4}{5}
\dfrac{1}{8}
\dfrac{6}{6}
0\%
A standard six-sided die is rolled. Write the probability of the following events as a decimal number:
Rolling a number from 1 to 6 inclusive.
Rolling an even number.
Rolling a number less than 4.
Rolling a number greater than 6.
Rolling a number less than 7.
In a prize draw, 8 red tickets and 8 blue tickets are handed out. For each of the following events:
State the likelihood of the event using one of the terms: Impossible, Unlikely, Likely, Even chance or Certain.
Write the probability of the event as a decimal number.
The winning ticket being black.
The winning ticket being red.
The winning ticket being red or blue.
The winning ticket being blue.
Estimate the probability of the following events as a decimal number:
It will rain somewhere in Australia sometime this month.
You meet someone today and correctly guess their birthday.
Which of these events has a probability closer to 0.25?
You roll a six-sided die and get a 5 or more.
You find \$100 on the ground today.
Which of these events has a probability closer to 0.75?
You flip a coin ten times and get at least one tail.
You roll a twelve-sided die and get a 3 or more.
Given an event with a probability of 4\%, determine whether the following statements are true or false:
It is likely to occur.
It is unlikely to occur.
It should occur 4 times every 100 trials.
It should occur 2 times every 100 trials.
It should occur 20 times every 500 trials.
It should never occur.