1. A spinner has four outcomes Three outcomes have the same probability and the fourth is half as likely.
2. A spinner has three outcomes, each half as likely as the one before it.
1. 3.5n = 360º
2. n + .5n +.25n = 360º
Solve for n.
1. To find the probability of each outcome for the first spinner, we can assign variables. Let's say the first three outcomes have a probability of "x" each, and the fourth outcome has a probability of "0.5x". Since the total probability of all outcomes must be 1, we can set up an equation:
x + x + x + 0.5x = 1
Combining like terms, we get:
3.5x = 1
Dividing both sides by 3.5, we find:
x = 1/3.5
Therefore, each of the first three outcomes has a probability of 1/3.5, and the fourth outcome has a probability of 0.5 * 1/3.5.
2. Similarly, to find the probability of each outcome for the second spinner, we can assign variables. Let's say the first outcome has a probability of "x", the second outcome has a probability of "0.5x", and the third outcome has a probability of "0.25x". Again, the total probability of all outcomes must be 1:
x + 0.5x + 0.25x = 1
Combining like terms:
1.75x = 1
Dividing both sides by 1.75, we find:
x = 1/1.75
Hence, the first outcome has a probability of 1/1.75, the second outcome has a probability of 0.5 * 1/1.75, and the third outcome has a probability of 0.25 * 1/1.75.