A bag contains different colored balls; 7 yellow, 3 red, and 6 green. Find the probability of randomly choosing a ball that is NOT green, P(Gc)?
There are a total of 7 yellow balls, 3 red balls, and 6 green balls, making a total of 16 balls in the bag.
The probability of randomly choosing a green ball, P(G), can be calculated as:
P(G) = Number of green balls / Total number of balls = 6 / 16 = 3 / 8
Since we want to find the probability of NOT choosing a green ball, P(Gc) can be calculated as:
P(Gc) = 1 - P(G)
= 1 - (3/8)
= 5/8
Therefore, the probability of randomly choosing a ball that is NOT green, P(Gc), is 5/8.
To find the probability of randomly choosing a ball that is NOT green, P(Gc), we need to calculate the number of balls that are not green and divide it by the total number of balls in the bag.
The number of balls that are not green is equal to the sum of the number of yellow and red balls:
Number of balls not green = Number of yellow balls + Number of red balls
= 7 yellow balls + 3 red balls
Total number of balls in the bag is the sum of the number of yellow, red, and green balls:
Total number of balls = Number of yellow balls + Number of red balls + Number of green balls
= 7 yellow balls + 3 red balls + 6 green balls
Now, we can calculate the probability:
P(Gc) = Number of balls not green / Total number of balls
= (7 + 3) / (7 + 3 + 6)
= 10 / 16
= 5 / 8
Therefore, the probability of randomly choosing a ball that is NOT green, P(Gc), is 5/8.
To find the probability of randomly choosing a ball that is not green (P(Gc)), we need to first calculate the total number of balls in the bag that are not green and then divide it by the total number of balls in the bag.
Step 1: Calculate the total number of balls that are not green.
In this case, we have 7 yellow balls and 3 red balls which are not green. Adding them together, we get 7 + 3 = 10 balls that are not green.
Step 2: Calculate the total number of balls in the bag.
From the information given, we know there are 7 yellow balls, 3 red balls, and 6 green balls. So the total number of balls in the bag is 7 + 3 + 6 = 16.
Step 3: Calculate the probability.
Now that we have the total number of balls that are not green (10) and the total number of balls (16), we can calculate the probability of randomly choosing a ball that is not green:
P(Gc) = Number of balls that are not green / Total number of balls
P(Gc) = 10 / 16
Simplifying the fraction, we get:
P(Gc) = 5/8
Therefore, the probability of randomly choosing a ball that is not green is 5/8.