if kate has 8 red, 4 blue and 4 green jelly beans in her pocket, what is the minimum amount of jelly beans she can bring out of her pocket that will contain all colours?..
Minimum number? Easy, three beans. One red, one blue, one green.
Now, if you mean the minimum number of random beans that will guaranteed each color. ...
What happens when 13 beans are picked? Can you just get one or two colors, or is three guaranteed?
To find the minimum amount of jelly beans Kate needs to bring out of her pocket to contain all colors, we need to determine the maximum number of colors she needs to collect.
In this case, Kate has 8 red, 4 blue, and 4 green jelly beans. Let's consider the worst-case scenario, where Kate first selects all the red jelly beans, and then she starts picking the other colors.
After selecting all the red jelly beans (8 jelly beans), Kate still needs to pick the remaining colors: blue and green. Since she has 4 blue and 4 green jelly beans, she can pick one of each color to have at least one jelly bean of all colors.
Thus, Kate needs to bring out a minimum of 8 (red) + 1 (blue) + 1 (green) = 10 jelly beans from her pocket to contain all colors.