a spinner is divided into three areas x,y,z. the measure of angle a is 90 degrees, angle b is 120 degrees and angle c is 150 degrees.
If the spinner is spun once, find the probabliity that it will land in
1) area X
2) area y
3) area z
The probability is the area of choice divided by total area.
2) Pr(y)=areay/totalarea=120/360=1/3
what is the probability 1.4
1x1
To find the probability of the spinner landing in each area, you need to compare the measure of each area to the total measure of all the areas combined.
1) Probability of landing in area X:
The measure of angle a is 90 degrees. To calculate the probability, divide the measure of area X by the total measure of all the areas combined:
Probability of landing in area X = Measure of angle a / Total measure of all areas
In this case, the total measure of all the areas combined is 90 + 120 + 150 = 360 degrees. So the probability of landing in area X is:
Probability of landing in area X = 90 / 360 = 1/4 = 0.25 or 25%
2) Probability of landing in area Y:
The measure of angle b is 120 degrees. Using the same formula, divide the measure of area Y by the total measure of all the areas combined:
Probability of landing in area Y = Measure of angle b / Total measure of all areas
Probability of landing in area Y = 120 / 360 = 1/3 = 0.33 or 33.3%
3) Probability of landing in area Z:
The measure of angle c is 150 degrees. Apply the formula to calculate the probability of landing in area Z:
Probability of landing in area Z = Measure of angle c / Total measure of all areas
Probability of landing in area Z = 150 / 360 = 5/12 = 0.42 or 41.7%
So, the probability of the spinner landing in each area is:
1) Area X: 25%
2) Area Y: 33.3%
3) Area Z: 41.7%