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Help with Maths word problem

A vase contains 100 balls, 28 red,20 green,12 brown,20 blue,10 white and 10 black.

How many balls must you draw from the vase to be sure that you will get 15 of same colour?

Please can anyone help how to work the answer out ? Thank you

Reply 1

Original post
by Dumbo786
A vase contains 100 balls, 28 red,20 green,12 brown,20 blue,10 white and 10 black.
How many balls must you draw from the vase to be sure that you will get 15 of same colour?
Please can anyone help how to work the answer out ? Thank you

How could you pick as many as possible without picking 15 of the same colour? So how many red, green, brown ... so on the next pick you must have 15 in one of the colours

Reply 2

Original post
by mqb2766
How could you pick as many as possible without picking 15 of the same colour? So how many red, green, brown ... so on the next pick you must have 15 in one of the colours

Sorry I don’t understand?

Reply 3

Original post
by Dumbo786
Sorry I don’t understand?

If you had 3 balls say, 2 red and 1 green (so a simplified version of the original problem) and you wanted to be sure of picking 2 of the same colour on the next pick, what must you have already picked? Then just apply the same logic.

Reply 4

Original post
by mqb2766
If you had 3 balls say, 2 red and 1 green (so a simplified version of the original problem) and you wanted to be sure of picking 2 of the same colour on the next pick, what must you have already picked? Then just apply the same logic.

Is the answer 55? Can u break it down and explain if possible ?

Reply 5

Original post
by Dumbo786
Is the answer 55? Can u break it down and explain if possible ?

Did you try the simple example? But its not 55.

Reply 6

Assume the worst case scenario - e.g. if you want 15 reds, assume you get the maximum possible of each other colour first

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