A spinner with 10 equally sized slices . The dial is spun and stops on a slice at random. What are the odds in favor of landing on a white slice when white has 7 slices. 2 black and 1 grey
7/10
10/2
To find the odds in favor of landing on a white slice, we need to calculate the probability of landing on a white slice.
The total number of slices on the spinner is 10 (7 white + 2 black + 1 grey).
The probability of landing on a white slice can be calculated as the number of white slices divided by the total number of slices:
Probability of landing on a white slice = (Number of white slices) / (Total number of slices)
Probability of landing on a white slice = 7 / 10
Now, to find the odds in favor of landing on a white slice, we need to divide the probability of landing on a white slice by the probability of not landing on a white slice:
Odds in favor of landing on a white slice = (Probability of landing on a white slice) / (Probability of not landing on a white slice)
Odds in favor of landing on a white slice = (7/10) / (3/10)
Simplifying, we get:
Odds in favor of landing on a white slice = 7/3
Therefore, the odds in favor of landing on a white slice when white has 7 slices, 2 black slices, and 1 grey slice is 7/3.
To determine the odds in favor of landing on a white slice, we need to calculate the probability of landing on a white slice.
First, let's find the total number of possible outcomes, which is the number of slices on the spinner. In this case, there are 10 slices in total.
Next, we need to find the number of favorable outcomes, which is the number of white slices on the spinner. According to the information given, there are 7 white slices.
Now we can calculate the probability of landing on a white slice by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability of landing on a white slice = Number of white slices / Total number of slices
Probability of landing on a white slice = 7 / 10
To express this probability as odds in favor, we can use the formula:
Odds in favor = Probability of success / Probability of failure
In this case, the probability of success is landing on a white slice (7/10), and the probability of failure is landing on a non-white slice (3/10, which is the sum of the black and grey slices).
Odds in favor of landing on a white slice = (Probability of success) / (Probability of failure)
Odds in favor of landing on a white slice = (7/10) / (3/10)
Simplifying the expression:
Odds in favor of landing on a white slice = 7/3
Therefore, the odds in favor of landing on a white slice when white has 7 slices, 2 black, and 1 grey is 7/3.