there are six red balls and nine blue balls in a box.a ball is selected at random.find the probability that the ball is (a)red(b) blue ( c) red of blue
6 red
9 blue
total is 15
prob(red) = 6/15 = 2/5
prob(blue) = 9/15 = 3/5
I assume that is a typo and should say "red or blue"
prob(red or blue) = 1
To find the probability of selecting a specific type of ball from a box, you need to divide the number of balls of that type by the total number of balls in the box.
In this case, there are six red balls and nine blue balls, so the total number of balls in the box is 6 + 9 = 15.
(a) To find the probability of selecting a red ball, you divide the number of red balls by the total number of balls:
Probability of selecting a red ball = Number of red balls / Total number of balls = 6 / 15 = 2/5 or 0.4
(b) To find the probability of selecting a blue ball, you divide the number of blue balls by the total number of balls:
Probability of selecting a blue ball = Number of blue balls / Total number of balls = 9 / 15 = 3/5 or 0.6
(c) To find the probability of selecting either a red or a blue ball, you add the probabilities of selecting each type of ball:
Probability of selecting either a red or a blue ball = Probability of selecting a red ball + Probability of selecting a blue ball = 2/5 + 3/5 = 5/5 or 1
So, the probability of selecting a red ball is 2/5 or 0.4, the probability of selecting a blue ball is 3/5 or 0.6, and the probability of selecting either a red or a blue ball is 1 or 100%.