a certain spinner has equally sized slices. the probability of landing on a red slice is 1/3 what are the odds in favor of landing a on a red slice
prob(red) = 1/3
prob(not red) = 2/3
odds in favour of red = (1/3) : (2/3)
= 1 : 2
p`iOU
To find the odds in favor of landing on a red slice, we need to calculate the probability of landing on a red slice and the probability of landing on a non-red slice.
Given that the probability of landing on a red slice is 1/3, the probability of landing on a non-red slice would be 1 - 1/3, which simplifies to 2/3.
The odds in favor of landing on a red slice can be calculated by dividing the probability of landing on a red slice by the probability of landing on a non-red slice. In this case, it would be:
(1/3) / (2/3)
To simplify this fraction, we can multiply the numerator and denominator by the reciprocal of the denominator:
(1/3) * (3/2) = 1/2
Therefore, the odds in favor of landing on a red slice are 1:2, or simply 1 to 2.
To calculate the odds in favor of landing on a red slice, we need to determine the number of favorable outcomes (landing on a red slice) and the number of unfavorable outcomes (not landing on a red slice).
Given that the spinner has equally sized slices, and the probability of landing on a red slice is 1/3, we can say that out of every 3 slices, 1 slice is red.
Therefore, the number of favorable outcomes (red slices) is 1, and the number of unfavorable outcomes (non-red slices) is 2.
To express the odds in favor of landing on a red slice, we can represent it as a ratio of favorable outcomes to unfavorable outcomes: 1:2.
So, the odds in favor of landing on a red slice are 1:2.