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Probability, NAP-E4-CA12

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%
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`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 8, smc-3191-10-Core concepts, smc-3191-30-Multi-step events, smc-682-10-Core concepts, smc-682-30-Multi-step events

Probability, NAP-F4-NC07

Which number below represents an event that is certain to occur?

`0.0` `0.1` `1.0` `1.2`
 
 
 
 
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`1.0`

Show Worked Solution

`1.0`

Filed Under: Probability, Probability Tagged With: Band 7, smc-3191-10-Core concepts, smc-682-10-Core concepts

Probability, NAP-G4-CA11

The weatherman described the chance of thunderstorms on a given day as highly unlikely.

Which probability best describes the chance of a thunderstorm?

`1/11`  `1/2`  `10/11`   `1`
 
 
 
 
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`1/11`

Show Worked Solution

 `1/11`

Filed Under: Probability, Probability Tagged With: Band 7, smc-3191-10-Core concepts, smc-682-10-Core concepts

Probability, NAP-G4-CA02

Arun flips an unbiased coin 200 times.

Which result is most likely?

`20\ text(tails)` `98\ text(tails)` `108\ text(tails)` `196\ text(tails)`
 
 
 
 
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`98\ text(tails)`

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`text(The expected result is 100 tails.)`

`:.\ text(The most likely result is the one closest to 100 tails.)`

`=> 98\ text(tails)`

Filed Under: Probability, Probability Tagged With: Band 5, smc-3191-10-Core concepts, smc-3191-30-Multi-step events, smc-3191-40-Relative frequency, smc-682-10-Core concepts, smc-682-30-Multi-step events, smc-682-40-Relative frequency

Probability, NAP-I4-NC03 SA

A bag contains 30 marbles that are either blue or green.

The probability of randomly removing a blue marble is 30%.

What is the probability of randomly removing a green marble?

  %
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`text(70%)`

Show Worked Solution
`P(G)` `= 1 – P(B)`
  `= 1 – 0.3`
  `= 0.7`
  `= 70text(%)`

Filed Under: Probability, Probability Tagged With: Band 7, smc-3191-10-Core concepts, smc-3191-20-One-step events, smc-682-10-Core concepts, smc-682-20-One-step events

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