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Probability, NAP-A3-CA09

Luigi spins these two arrows. He then adds the numbers in the sections where the  arrows stop to get the total score.
 

 
How many different ways can Luigi get a total of 7?

`2` `3` `4` `5`
 
 
 
 
Show Answers Only

`3`

Show Worked Solution

`text(Consider the possibilities to get 7)`

 

`:.\ text(There are 3 ways to get a total of 7.)`

Filed Under: Probability, Probability Tagged With: Band 7, smc-3167-30-Multi-step events, smc-675-30-Multi-step events

Probability, NAP-D3-NC30 SA

In any standard six-sided dice, the sum of the opposite faces is 7.

Milo rolls 3 dice and the total of the top faces is 5.

What is the sum of the three opposite faces?

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`16`

Show Worked Solution

`text(Sum of 3 top faces + 3 opposite)`

`= 3 xx 7`

`= 21`

`:.\ text(Sum of 3 opposite faces)`

`= 21 – 5`

`= 16`

Filed Under: Probability, Probability Tagged With: Band 10, smc-3167-30-Multi-step events, smc-675-30-Multi-step events

Probability, NAP-E3-CA26 SA

Mea and Jack are playing a dice game.

They have two standard 6-sided dice.

One of the die is white and the other is grey.

Mea needs to roll a total of 11 to win.

There are two different ways she can roll a total of 11 as shown.
 

   

 
Jack has to roll a 6 to win.

How many different ways can Jack roll a total of 6?

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`text(5 different ways)`

Show Worked Solution

`text(The table shows the ways a six can be rolled.)`

`:.\ text(5 different ways.)`

Filed Under: Probability, Probability Tagged With: Band 9, smc-3167-30-Multi-step events, smc-675-30-Multi-step events

Probability, NAP-E3-CA17

Peter has a bag of marbles. 75% of his marbles are blue.

Peter takes a green marble from his bag and loses it in a game.

If he takes another marble from the bag without looking, what are the chances it is blue?

 
less than 75%
 
equal to 75%
 
greater than 75%
Show Answers Only

`text(greater than 75%)`

Show Worked Solution

`text(There will be greater than 75% chance)`

`text(because there are the same amount of )`

`text(blue marbles to be chosen but 1 less)`

`text(in the bag.)`

Filed Under: Probability, Probability Tagged With: Band 7, smc-3167-10-Core concepts, smc-3167-30-Multi-step events, smc-675-10-Core concepts, smc-675-30-Multi-step events

Probability, NAP-H3-NC09

Two standard dice are rolled at the same time and the two numbers are added up.
 

nap-159-nc03 

 
Which total is most likely?

`2` `3` `4` `7`
 
 
 
 
Show Answers Only

`7`

Show Worked Solution

`text(A total of 7 is most likely.)`

`text{Note that a 7 can occur in the following ways:}`

`(6,1), (1,6), (5,2), (2,5), (4,3) or (3,4)`

`text(No other option given has as many)`

`text(combinations.)`

Filed Under: Probability, Probability Tagged With: Band 6, smc-3167-30-Multi-step events, smc-675-30-Multi-step events

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