There are six red balls and Nine blue balls in a box. A box is picked at random. Find the probability that the ball is,
A. Red
B. Blue
C. Red or Blue
A. To find the probability that the ball picked is red, we need to calculate the number of red balls divided by the total number of balls in the box.
Number of red balls = 6
Total number of balls = 6 (red) + 9 (blue) = 15
Probability of picking a red ball = Number of red balls / Total number of balls
Probability of picking a red ball = 6/15 = 2/5
Therefore, the probability of picking a red ball is 2/5.
B. To find the probability that the ball picked is blue, we again calculate the number of blue balls divided by the total number of balls in the box.
Number of blue balls = 9
Total number of balls = 6 (red) + 9 (blue) = 15
Probability of picking a blue ball = Number of blue balls / Total number of balls
Probability of picking a blue ball = 9/15 = 3/5
Therefore, the probability of picking a blue ball is 3/5.
C. To find the probability that the ball picked is red or blue, we add the probabilities of picking a red ball and a blue ball, but we need to subtract the probability of picking both a red and a blue ball as we can only choose one ball at a time.
Probability of picking a red or blue ball = Probability of picking a red ball + Probability of picking a blue ball - Probability of picking both a red and a blue ball
Probability of picking a red or blue ball = 2/5 + 3/5 - 0
Probability of picking a red or blue ball = 5/5
Therefore, the probability of picking a red or blue ball is 1.