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Probability, NAP-K2-12v1

There are 8 balls, numbered from 1 to 8, in a basket.

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

The first two balls taken out are numbered 4 and 6.

Which of the following cannot happen?

 
The next ball chosen is 5.
 
The next 2 balls chosen are odd.
 
The fifth ball chosen is 1.
 
The next 3 balls chosen are even.
Show Answers Only

`text(The next 3 balls chosen are even.)`

Show Worked Solution

`text(Once number 4 and 6 are drawn, only 2 even numbers)`

`text{are left (no replacement).}`

`:.\ text(The next 3 balls chosen are even cannot happen.)`

Filed Under: Chance Tagged With: Band 5, smc-3053-30-Selection

Probability, NAP-B1-34

Penny gets to take 1 marble from a dish.

Penny wants to choose this type of marble  .
Which dish gives Penny the best chance of choosing a   ?
 
 
 
 
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Show Worked Solution

`text(Looking at each dish, the chances of choosing)`

`text(the marble she wants is:)`

`text(Dish 1:)\ \ 4/10`

`text(Dish 2:)\ \ 2/6`

`text(Dish 3:)\ \ 3/7`

`text(Dish 4:)\ \ 3/6`

`=>\ text{Best chance is with the dish (above)}`

`text(as the chances are)\ 1/2.`

Filed Under: Chance, Chance Tagged With: Band 9, smc-3053-30-Selection, smc-712-30-Selection

Probability, NAP-B1-15

Kylie picks 1 marble from Bag 1 and 1 marble from Bag 2.
 

Which pair of marbles is it impossible for Kylie to pick?

 
 
 
 
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Show Worked Solution

Filed Under: Chance, Chance Tagged With: Band 5, smc-3053-30-Selection, smc-712-30-Selection

Probability, NAP-C1-22

Rudolph takes 4 marbles out of the bag at the same time.

Which of these is impossible?

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

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

Show Worked Solution

`text{S}text{ince there is only 1 grey marble in the bag,}`

`text(2 striped marbles and 2 grey marbles is impossible.)`

Filed Under: Chance, Chance Tagged With: Band 5, smc-3053-30-Selection, smc-712-30-Selection

Probability, NAP-D1-19

Tango picks two of these balls.

He adds up the circled numbers on the balls he picked to get a total.

Which of these totals is impossible for him to get?

`4` `5` `6` `8`
 
 
 
 
Show Answers Only

`5`

Show Worked Solution

`text(The different combinations are:)`

`1+3` `=4`
`1+5` `=6`
`3+5` `=8`

 

`=>\ text(A total of 5 is impossible.)`

Filed Under: Chance, Chance, Chance, TESTLET D Tagged With: Band 5, smc-3053-30-Selection, smc-712-30-Selection

Probability, NAP-D1-18

Ricky has three boxes of balls.
 

 
He picks one ball out of each box.

Which of these could be the balls he chooses?
 

 
 
 
 
Show Answers Only

Show Worked Solution

Filed Under: Chance, Chance Tagged With: Band 4, smc-3053-30-Selection, smc-712-30-Selection

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