a fair spinner has 11 equal sections 4 red 4 blue 3 green
it is spun twice
what is the probability of getting not green then green
well, if 3 of the 11 are green, then 8 must be not-green.
Prob(not green, then green) = (8/11)(3/11) = 24/121
To find the probability of getting not green on the first spin and green on the second spin, we need to calculate the individual probabilities and multiply them together.
Probability of not getting green on the first spin:
There are a total of 11 sections on the spinner, and 3 of them are green. Therefore, the probability of not getting green on the first spin is (11 - 3) / 11 = 8 / 11.
Probability of getting green on the second spin:
After the first spin, there are 10 sections remaining, and 3 of them are green. Therefore, the probability of getting green on the second spin is 3 / 10.
To calculate the overall probability, we multiply these two probabilities together:
Probability of not green then green = (8 / 11) * (3 / 10) = 24 / 110 = 12 / 55.
Therefore, the probability of getting not green on the first spin and green on the second spin is 12 / 55.
To find the probability of getting not green then green, we need to calculate the probability of the first spin landing on a non-green section and the second spin landing on the green section.
The total number of possible outcomes for the first spin is 11 since there are 11 equal sections on the spinner.
Since there are 3 green sections out of the total 11 sections, the probability of the first spin landing on a green section is 3/11.
Once the first spin lands on a non-green section, there will be 10 remaining sections in the spinner, out of which 2 are green. Therefore, the probability of the second spin landing on a green section is 2/10.
To find the probability of both events occurring together (not green then green), we multiply the probabilities of each event. Hence, the probability of getting not green then green is (3/11) * (2/10) = 6/110.
Therefore, the probability of getting not green then green is 6/110, which can also be simplified to 3/55.