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17.01 The language of probability

Worksheet
Language of probability
1

State whether the following events are: likely, even chance, unlikely, impossible, or certain:

a

Winning the lottery.

b

Scoring 140\% on an exam.

c

Flipping tails with a coin.

d

Next week will have 8 days?

e

A number greater than two is rolled with a standard die.

f

A number greater than 4 is rolled with a standard die.

g

When a standard die is rolled we get a number from 1 to 6.

h

If a horse is "odds-on" to win the race.

2

In a prize draw 8 red tickets and 8 blue tickets are handed out. For each event below choose the best description of the chance of each event using the list to the right:

a

The winning ticket being black.

b

The winning ticket being red.

c

The winning ticket being red or blue.

  • Impossible - 0

  • Unlikely - between 0 and 0.5

  • Even - 0.5

  • Likely - between 0.5 and 1

  • Certain - 1

3

A game in a classroom uses the spinner shown:

State the likelihood of the following events as either: likely, even chance, unlikely, impossible, or certain:

a

Spinning an odd number.

b

Spinning a 2.

c

Spinning a number less than 8.

4

Consider the spinner below and state the likelihood of the following outcomes:

a
b
c
d
5

Consider the spinner shown:

a

What is the most likely symbol to spin?

b

State the likelihood of spinning a ball.

c

Which of the following pairs of events have an even chance?

A

Spinning an apple or a pig.

B

Spinning a star or a ball.

C

Spinning a pig or a star.

D

Spinning a ball or a pig.

6

Consider the spinner shown:

a

State whether the following events have an even chance:

i

Spinning an even number.

ii

Spinning 7 or more.

iii

Spinning 12 or less.

iv

Spinning 7 or less.

b

State the likelihood of spinning 15 or more.

7

A standard six-sided die is rolled.

a

State the likelihood that the outcome is a 2 or higher?

b

State the likelihood that the outcome is a 7 or higher?

8

A standard six-sided die is rolled. Which outcome is least likely?

A

Rolling a prime number.

B

Rolling an even number.

C

Rolling a number less than 3.

9

A twelve-sided die is rolled. State the likelihood that the outcome is 8 or higher?

10

Kenneth has a six-sided die. Lisa has a twelve-sided die. They decide to roll both their dice and the winner is the person who rolls the highest. Who is more likely to win?

11

There are 20 marbles in a jar: 7 red, 10 green and 3 blue. If a marble is chosen at random:

a

What colour marble is most likely to be chosen?

b

What color marble is least likely to be chosen?

12

One marble is drawn out of the following jar containing 3 black, 3 red, and 6 blue marbles:

a

State the color of the marble that you are most likely to draw.

b

State the likelihood that you draw a marble that is not Blue.

13

The three cards below are shuffled. One card is then drawn at random:

a

State the likelihood of drawing a Heart.

b

State the likelihood of drawing a number card.

14

The four cards below are shuffled. One card is then drawn at random:

a

State the likelihood of drawing a Jack, Queen or King.

b

State the likelihood of drawing a card with a number less than 4.

15

Yuri plays a game using the 8-sided spinner shown:

a

State the likelihood that he spins a number less than 15.

b

State the likelihood that he spins the same number three times in a row.

c

State the likelihood that he spins an even number.

d

State the likelihood that he spins the number 4.

Outcomes
16

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".

17

List all the possible outcomes for each of the following:

a
One spin of the following spinner
b

Rolling a standard six-sided die.

18

Uther rolled a standard six-sided die.

If Uther rolled a number less than 3, what numbers could he have rolled?

19

Rochelle draws a card from a standard 52 card deck, and writes down the suit of the card.

How many different outcomes could there be?

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Outcomes

MA4-21SP

represents probabilities of simple and compound events

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