Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones.What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color? ( could you tell me the steps )
thanks.
What if she got all red and all green on her first 12 tries? Then she would need one more to be sure of getting a blue, the third color.
To find the minimum number of jellybeans Grace must take out of her pocket to ensure that she has one of each color, we need to consider the worst-case scenario.
First, let's assume that Grace first removes all the red jellybeans. She would need to take out 8 jellybeans to ensure there are no more red ones left in her pocket.
Next, let's assume that Grace removes all the green jellybeans. She would need to take out 4 jellybeans to ensure there are no more green ones left in her pocket.
Finally, assuming Grace has taken out both red and green jellybeans, she would need to take out just one more jellybean to ensure that she has one of each color remaining.
Therefore, the minimum number of jellybeans Grace must take out of her pocket to ensure that she has one of each color is 8 + 4 + 1 = 13.