Probability of getting a red ball from a bag containing 6 green and 5 red balls

Introduction:
In this problem, we are given a bag that contains 6 green balls and 5 red balls. We are required to find the probability of drawing a red ball from the bag.

Understanding Probability:
Probability is a measure of the likelihood of an event occurring. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Calculating Probability:
To calculate the probability of drawing a red ball, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:
The total number of outcomes is the sum of the number of green balls and the number of red balls in the bag. In this case, the total number of outcomes is 6 + 5 = 11.

Number of favorable outcomes:
The number of favorable outcomes is the number of red balls in the bag. In this case, the number of favorable outcomes is 5.

Calculating the probability:
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.

Probability = Number of favorable outcomes / Total number of outcomes

Substituting the values, we get:

Probability of getting a red ball = 5 / 11

Simplifying the probability:
The probability of getting a red ball can be further simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 5 and 11 is 1.

Dividing both the numerator and the denominator by 1, we get:

Probability of getting a red ball = 5 / 11

Conclusion:
The probability of getting a red ball from the bag is 5/11. This means that out of the 11 balls in the bag, there is a 5/11 chance of drawing a red ball.