Final answer:
The probability that the ball is red is calculated by dividing the number of red balls (11) by the total number of balls (44), which results in a probability of 0.25 or 0.2500 when rounded to four decimal places.
Step-by-step explanation:
To find the probability that the ball is red, you need to divide the number of red balls by the total number of balls. In the given container, there are a total of 11 red balls, 15 green balls, 10 white balls, and 8 yellow balls, making a total of 44 balls.
The probability (P) that the ball is red is calculated as follows:
P(red) = number of red balls / total number of balls = 11 / 44.
After simplifying the fraction, we have:
P(red) = 0.25. When rounded to four decimal places, this remains 0.2500.
The general approach to finding the probability of a single event is to divide the number of favorable outcomes by the total number of possible outcomes in the sample space, rounding the answer to the required decimal places.