If you have a box of chocolate that has 5 dark chocolates and 8 milk chocolates. How many times would you have to reach in the box and take a chocolate out at a time. How many times would you have to reach in to get at least either 2 milk or 2 dark chocolate bars.
Since there are only 2 colors, 3 draws must produce 2 of one or the other.
To determine how many times you would have to reach in the box to get at least either 2 milk or 2 dark chocolate bars, we can follow these steps:
Step 1: Calculate the minimum number of times you need to reach in to get 2 milk chocolates:
Since there are 8 milk chocolates in the box, you would need to reach in at least 2 times to get 2 milk chocolates, as each reach would guarantee one milk chocolate. Therefore, the minimum number of times you need to reach in for 2 milk chocolates is 2.
Step 2: Calculate the minimum number of times you need to reach in to get 2 dark chocolates:
Similarly, there are 5 dark chocolates in the box, so you would also need to reach in at least 2 times to get 2 dark chocolates. Hence, the minimum number of times you need to reach in for 2 dark chocolates is also 2.
Step 3: Determine the greater number of minimum reaches:
In this case, since both 2 milk chocolates and 2 dark chocolates require a minimum of 2 reaches, you would need to take the greater number between the two. Therefore, you would have to reach in at least 2 times to get either 2 milk chocolates or 2 dark chocolates.
Hence, the answer to your question is that you would need to reach in the box at least 2 times to get at least either 2 milk or 2 dark chocolate bars.