There are 12 gum balls,(each a different color), in a bag. One of them is red. What is the probability of reaching into a bag without looking & selecting a color that is not red?
P = 11/12.
P=11/12
To find the probability of selecting a gum ball that is not red, we need to determine the total number of gum balls in the bag that are not red.
Given that there are 12 gum balls in total, and one of them is red, we subtract 1 from the total to get the number of gum balls that are not red. Thus, there are 12 - 1 = 11 gum balls in the bag that are not red.
The next step is to calculate the probability. The probability of selecting a gum ball that is not red can be expressed as the number of favorable outcomes (selecting a non-red gum ball) divided by the number of possible outcomes (total gum balls in the bag).
In this case, the number of favorable outcomes is 11, as there are 11 gum balls that are not red. The total number of possible outcomes is 12, as there are 12 gum balls in total.
Therefore, the probability of reaching into the bag without looking and selecting a gum ball that is not red is:
P(selecting a non-red gum ball) = Number of favorable outcomes / Number of possible outcomes
= 11 / 12
Thus, the probability of selecting a non-red gum ball is 11/12, or approximately 0.92, which can also be expressed as 92%.