magic bag - mr barton mathsmrbartonmaths.com/resourcesnew/something in common/magic...magic bag a...

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Magic Bag A magic bag contains some black and white balls, all of the same size, weight and shape. I put my hands in the bag and simultaneously and randomly pull out two balls. They are both the same colour and the magic bag tells me that the chance of this occurring was exactly 0.5. The bag contains a given number of black balls. Can you work out how many white ones there are? What valid combinations of black and white balls are possible? = 45 = ? SIC_10 Magic Bag A magic bag contains some black and white balls, all of the same size, weight and shape. I put my hands in the bag and simultaneously and randomly pull out two balls. They are both the same colour and the magic bag tells me that the chance of this occurring was exactly 0.5. The bag contains a given number of black balls. Can you work out how many white ones there are? What valid combinations of black and white balls are possible? = 66 = ? SIC_10

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Page 1: Magic Bag - Mr Barton Mathsmrbartonmaths.com/resourcesnew/something in common/Magic...Magic Bag A magic bag contains some black and white balls, all of the same size, weight and shape

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 45

= ?

SIC_10

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 66

= ?

SIC_10

Page 2: Magic Bag - Mr Barton Mathsmrbartonmaths.com/resourcesnew/something in common/Magic...Magic Bag A magic bag contains some black and white balls, all of the same size, weight and shape

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 91

= ?

SIC_10

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 120

= ?

SIC_10

Page 3: Magic Bag - Mr Barton Mathsmrbartonmaths.com/resourcesnew/something in common/Magic...Magic Bag A magic bag contains some black and white balls, all of the same size, weight and shape

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 153

= ?

SIC_10

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 190

= ?

SIC_10

Page 4: Magic Bag - Mr Barton Mathsmrbartonmaths.com/resourcesnew/something in common/Magic...Magic Bag A magic bag contains some black and white balls, all of the same size, weight and shape

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 231

= ?

SIC_10

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 276

= ?

SIC_10

Page 5: Magic Bag - Mr Barton Mathsmrbartonmaths.com/resourcesnew/something in common/Magic...Magic Bag A magic bag contains some black and white balls, all of the same size, weight and shape

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 325

= ?

SIC_10

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 378

= ?

SIC_10

Page 6: Magic Bag - Mr Barton Mathsmrbartonmaths.com/resourcesnew/something in common/Magic...Magic Bag A magic bag contains some black and white balls, all of the same size, weight and shape

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 435

= ?

SIC_10

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 496

= ?

SIC_10

Page 7: Magic Bag - Mr Barton Mathsmrbartonmaths.com/resourcesnew/something in common/Magic...Magic Bag A magic bag contains some black and white balls, all of the same size, weight and shape

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 561

= ?

SIC_10

Magic B

agA magic b

ag contains some black

and white

balls, all of th

e sam

e

size, w

eigh

t and sh

ape.

I put m

y hand

s in the bag and

sim

ultaneously and

random

ly pull out tw

o balls. T

hey are

both

the

same colour and

the magic b

ag tells m

e th

at the ch

ance of th

is occurring w

as exactly 0

.5.

The bag contains a give

n number

of black b

alls.

Can you w

ork out how many w

hite

one

s there are

?

What valid

combinations of b

lack and

white

balls are

possible?

= 630

= ?

SIC_10