Did you know?
Did you know that probability is a branch of mathematics that deals with the likelihood of events occurring? In the given scenario, a bag contains 10 balls, with 6 red balls and an equal number of white and blue balls. Let's explore the probability of different outcomes when a ball is picked at random.
(a) To find the probability of the ball being either white or red, we add the number of white balls (let's assume it to be X) and the number of red balls (6) and divide it by the total number of balls (10). So, the probability would be (X + 6)/10.
(b) To determine the probability of the ball not being red, we count the number of balls that are not red (white + blue = 2X) and divide it by the total number of balls (10). Therefore, the probability is (2X)/10.
(c) The probability of the ball being either blue or red can be found by adding the number of blue balls (X) and the number of red balls (6), and dividing it by the total number of balls (10). Thus, the probability would be (X + 6)/10.
(d) Lastly, the probability of the ball being white is determined by counting the number of white balls (X) and dividing it by the total number of balls (10). Therefore, the probability is X/10.
By using mathematical calculations and understanding the concept of probability, we can determine the likelihood of various outcomes, making it an essential tool in many areas, from games of chance to scientific research.
