An experiment consists of spinning a spinner. The odds in favor of the spinner landing on an even number are 3:7. What is the probability that the spinner will not land on an even number? Type your answer as a decimal.
well, naturally, that would be 7/(3+7)
To find the probability that the spinner will not land on an even number, we need to subtract the probability of landing on an even number from 1.
The odds in favor of the spinner landing on an even number are given as 3:7.
To convert this odds ratio to a probability, we need to sum up the two parts of the ratio (3 + 7 = 10) and divide each part by this sum:
Probability of landing on an even number = 3/10
To find the probability of not landing on an even number, we subtract this probability from 1:
Probability of not landing on an even number = 1 - 3/10
Simplifying the expression:
Probability of not landing on an even number = 7/10
Therefore, the probability that the spinner will not land on an even number is 7/10 or 0.7 as a decimal.
To find the probability of an event happening, you divide the number of favorable outcomes by the total number of possible outcomes.
In this case, the odds in favor of the spinner landing on an even number are given as 3:7.
The odds ratio of 3:7 can be represented as (3/7) probability in favor and (7/7-3/7=4/7) probability against.
So, the probability of the spinner landing on an even number is 3/7, and the probability of it not landing on an even number is 4/7.
Therefore, the probability that the spinner will not land on an even number is 4/7, which is approximately 0.5714 when expressed as a decimal.