A jar has eight red, nine blue, and ten green marbles. What is the least number of marbles that you can remove from the jar and be certain that you have three of the same color?
you would subtract 3 from each colour which would give you 5 red 6 blue and 7 green and all those added up would be how much marbles you should take in total to give you 3 of the same colour
To find the answer, we need to determine the worst-case scenario, where we remove the fewest number of marbles from the jar but still guarantee that we have three marbles of the same color.
Let's first consider the scenario that requires the lowest number of marbles to be removed. We could start by removing all the different colored marbles one by one until only one color is left in the jar. In this case, we would need to remove a maximum of 27 marbles (8 red + 9 blue + 10 green). Even after removing these marbles, we cannot be certain that we have three marbles of the same color.
However, if we remove just one more marble, we will have removed a total of 28 marbles. At this point, we can be certain that we have three marbles of the same color.
Therefore, the least number of marbles that you can remove from the jar and be certain of having three of the same color is 28 marbles.