A bag contains 15 green ,12 red, 11 blue,10, yellow,8 black and 4 white balls what is the minimum number of balls that at least 9 balls of the same color are there
The minimum would be nine, but the odds of getting that are small.
To find the minimum number of balls needed in order to have at least 9 balls of the same color, we need to consider the worst-case scenario.
First, let's assume that we have 8 balls of each color. In this case, we have a total of 8 x 6 = 48 balls.
To meet the requirement of having at least 9 balls of the same color, we need to replace one of the balls of any color with a ball of a different color. Since we want the minimum number of balls required, we want to minimize the number of balls that need to be replaced.
In this case, we can replace one of the white balls with a green ball, as we already have 15 green balls. Now, we have 9 green balls, 8 white balls, and 8 balls of each of the other colors.
Therefore, the minimum number of balls needed is 48 - 1 + 1 = 48 balls.