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Probability, NAP-J2-34

Mick has a bag of marbles. His marbles are orange, white, blue and green.
 

 
Mick picks one marble from his bag.

Which of the following could be the probability that the marble he picks is green.

`13/3` `1.52` `3/13` `6`
 
 
 
 
Show Answers Only

`3/13`

Show Worked Solution

`text(Any probability must be between 0 and 1.)`

`:.\ text(Only possibility is)\ 3/13`

Filed Under: Chance, Chance Tagged With: Band 6, smc-3137-10-Core concepts, smc-699-10-Core concepts

Probability, NAP-F2-07

The weather report says there is 80% chance of rain tomorrow.

Which of these describes the chance of it raining tomorrow?

`text(impossible)` `text(unlikely)` `text(likely)` `text(certain)`
 
 
 
 
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`text(likely)`

Show Worked Solution

`text(Anything over 50% chance is more likely than)`

`text(not of happening. Anything that is certain of)`

`text(happening must be 100% chance.)`

`:.\ text(80% chance is “likely”.)`

Filed Under: Chance, Chance Tagged With: Band 4, smc-3137-10-Core concepts, smc-699-10-Core concepts

Probability, NAP-E2-15

Jack rolls a standard dice three times.

He rolls a six each time.

Jack then has a forth roll.

Which of the following is true?

 
He is more likely to roll a six than a four.
 
He is certain to roll a six.
 
He has an equal chance of rolling a six as a four.
 
He is more likely to roll a four then a six.
Show Answers Only

`text(He has an equal chance of rolling a six as a four.)`

Show Worked Solution

`text(On any 1 given roll, all numbers have an)`

`text(equal chance.)`

`:.\ text(He has an equal chance of rolling a six as a four.)`

Filed Under: Chance, Chance, Chance Tagged With: Band 5, smc-3053-10-Core Concepts, smc-3137-10-Core concepts, smc-3137-40-Dice, smc-699-10-Core concepts, smc-699-40-Dice

Probability, NAP-D2-26

In a high school, all the boys were asked their favourite sport and the top five results were put in the table below.

Which of these statements is true of a boy who goes to the high school?

 
His favourite sport is less likely to be soccer than AFL.
 
His favourite sport is certain to be rugby league.
 
His favourite sport is more likely to be rugby union than swimming.
 
It is impossible that his favourite sport is golf.
Show Answers Only

`text(His favourite sport more likely to be)`

`text(rugby union than swimming.)`

Show Worked Solution

`text(His favourite sport is more likely to be)`

`text(rugby union than swimming.)`

Filed Under: Chance, Chance Tagged With: Band 7, smc-3137-10-Core concepts, smc-699-10-Core concepts

Probability, NAP-I2-31

A soccer competition has six teams playing on the same day.

The table below shows the draw. 

If no match ends in a draw, which of the following is possible?

 
Tigers and Lions are the only teams that lose.
 
Lions and Cheetahs both lose.
 
Meercats and Civets both win.
 
Lions, Leopards, Civets and Tigers all win.
Show Answers Only

`text(Meercats and Civets both win.)`

Show Worked Solution

`=>\ text(3 teams must win and 3 teams must lose.)`

`=>\ text(Teams playing each other cannot both lose).`

`:.\ text(Meercats and Civets both winning is the)`

`text(only option that is possible.)`

Filed Under: Chance, Chance, Chance Tagged With: Band 7, smc-3053-10-Core Concepts, smc-3137-10-Core concepts, smc-699-10-Core concepts

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