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There are 200 counters in a bag.
50 of them are taken out and have a dab of white paint placed on them.
These 50 marked counters are now put back in the bag which is given
a good shake to ensure even distribution of the marked counters.
80 counters are now taken out of the bag.
About how many of them would you expect to be marked with a
dab of white paint?

Respuesta :

acceleratedbeepbop
We know that 50/200 of the counters have white paint. That is equal to 1/4 of the counters. Since there is an even distribution of the counters, we can guess that 1/4 of the counters taken out have white paint. 1/4 of 80 = 20

We could expect about 20 of the counters taken out to have white paint

Out of those 80 counters, 20 counters may have a white dab on them.

Given to us

Total number of counters in the bag = 200

counters that have a white dab = 50

counters that are now taken out of the bag = 80

Let's first take the ratio of counters that have a white dab to the total number of counters in the bag.

The ratio of bag    

[tex]\rm{=\dfrac{counters\ that\ have\ a\ white\ dab}{Total\ number\ of\ counters\ in\ the\ bag}[/tex]

[tex]=\dfrac{50}{200} = \dfrac{1}{4} = 0.25[/tex]

Therefore, the ratio of counters that have a white dab to the total number of counters in the bag is 0.25.

80 counters

As the bag is given  a good shake to ensure even distribution of the marked counters.

Those 80 counters will follow the same ratio of the bag, so, the number of tokens with white dab will be,

Number of tokens taken out x ratio of the bag

= 80 x 0.25

= 20

Hence, out of those 80 counters, 20 counters may have a white dab on them.

Learn more about ratio:

https://brainly.com/question/1504221

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