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Probability, NAP-K2-12

There are 10 balls, numbered from 1 to 10, in a basket.

Five balls are taken out of the basket, one at a time, and not replaced.

The first ball taken out is number 4.

Which of the following cannot happen?

 
The second ball is odd.
 
The third ball is even.
 
The fourth ball is 7.
 
The fifth ball is 4.
Show Answers Only

`text(The fifth ball is 4)`

Show Worked Solution

`text(Once number 4 is drawn, it cannot be taken)`

`text{out again (no replacement).}`

`:.\ text(The fifth ball cannot be 4.)`

Filed Under: Chance, Chance Tagged With: Band 5, smc-3137-20-Selection, smc-699-20-Selection

Probability, NAP-B2-29

Kenny can choose one of the 4 bowls.

He picks one ball from the bowl without looking.

Which bowl gives him the best chance of picking a black ball?

 
 
 
 
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Show Worked Solution

`text(The chance of choosing a black ball for each option are:)`

`text(Option 1:)\ \ 3/5`

`text(Option 2:)\ \ 2/6=1/3`

`text(Option 3:)\ \ 4/8=1/2`

`text(Option 4:)\ \ 5/10 = 1/2`

`=>\ text(Option 1 gives him the best chance.)`

Filed Under: Chance, Chance Tagged With: Band 8, smc-3137-20-Selection, smc-699-20-Selection

Probability, NAP-C2-16

Angelina takes 3 marbles out of the bag at the same time.
 

 
Which of these is impossible?

 
2 striped marbles and 1 white marble.
 
2 white marbles and 1 grey marble.
 
2 grey marbles and 1 striped marble.
 
2 star marbles and 1 grey marble.
Show Answers Only

`text(2 grey marbles and 1 striped marble.)`

Show Worked Solution

`text(2 grey marbles and 1 striped marble.)`

`text{(since there is only 1 grey marble in the bag)}`

Filed Under: Chance, Chance Tagged With: Band 6, smc-3137-20-Selection, smc-699-20-Selection

Probability, NAP-H2-11

A fish tank has 4 different types of fish in it.
 

 
Jacques takes 1 fish out of the fish tank

Which fish is he least likely to take?

 
 
 
 
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Show Worked Solution

`text(The fish least likely is the one that has the fewest number.)`

Filed Under: Chance, Chance Tagged With: Band 4, smc-3137-20-Selection, smc-699-20-Selection

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