Give the probability that the spinner shown would land on (a) red, (b) yellow, and (c) green. Assume all sectors of the spinner are the same size.
red
green
green
yellow
red
green
(a) The probability of landing on red is 2/6 or 1/3.
(b) The probability of landing on yellow is 1/6.
(c) The probability of landing on green is 3/6 or 1/2.
To find the probability of landing on each color, we need to calculate the ratio of the desired outcomes to the total number of possible outcomes.
(a) Probability of landing on red:
Number of red sectors: 2
Total number of sectors: 6 (red + green + green + yellow + red + green)
P(red) = Number of red sectors / Total number of sectors
P(red) = 2 / 6
P(red) = 1/3
Therefore, the probability of landing on red is 1/3.
(b) Probability of landing on yellow:
Number of yellow sectors: 1
P(yellow) = Number of yellow sectors / Total number of sectors
P(yellow) = 1 / 6
Therefore, the probability of landing on yellow is 1/6.
(c) Probability of landing on green:
Number of green sectors: 3
P(green) = Number of green sectors / Total number of sectors
P(green) = 3 / 6
P(green) = 1/2
Therefore, the probability of landing on green is 1/2.
To find the probability of the spinner landing on each color, we need to determine the number of favorable outcomes (the specific color) and the total number of possible outcomes (the total number of colors on the spinner).
(a) Probability of landing on red:
Count the number of red sectors on the spinner: 2
Count the total number of sectors on the spinner: 6
Probability of landing on red = Number of favorable outcomes / Total number of possible outcomes = 2/6 = 1/3
(b) Probability of landing on yellow:
Count the number of yellow sectors on the spinner: 1
Count the total number of sectors on the spinner: 6
Probability of landing on yellow = Number of favorable outcomes / Total number of possible outcomes = 1/6
(c) Probability of landing on green:
Count the number of green sectors on the spinner: 3
Count the total number of sectors on the spinner: 6
Probability of landing on green = Number of favorable outcomes / Total number of possible outcomes = 3/6 = 1/2
Therefore, the probabilities are:
(a) Probability of landing on red = 1/3
(b) Probability of landing on yellow = 1/6
(c) Probability of landing on green = 1/2