The results of a medical test show that of 66 people selected at random who were given the test, 3 tested positive and 63 tested negative. Determine the odds in favor of a person selected at random testing positive on the test.
Well, if we calculate the odds in favor of a person selected at random testing positive on the test, we can say it's 3 to 63. But let's put it in a more humorous way: "The odds are like finding a needle in a haystack, except in this case, the haystack is filled with 63 needles and one clown nose!" So, the odds are 1 in 21, or simply put, it's a real clown fiesta!
To determine the odds in favor of a person selected at random testing positive on the test, we need to calculate the ratio of the favorable outcomes to the unfavorable outcomes.
Given that 3 people tested positive and 63 people tested negative, the number of favorable outcomes is 3 and the number of unfavorable outcomes is 63.
Therefore, the odds in favor of a person selected at random testing positive on the test can be calculated as:
Odds in favor = Favorable outcomes / Unfavorable outcomes
Odds in favor = 3 / 63 = 1 / 21
So the odds in favor of a person selected at random testing positive on the test are 1 in 21.
To determine the odds in favor of a person selected at random testing positive on the test, we need to calculate the ratio of the favorable outcomes to the unfavorable outcomes.
In this case, the favorable outcome is a person testing positive and the unfavorable outcome is a person testing negative.
Given that 3 out of 66 people tested positive and 63 out of 66 people tested negative, we can calculate the odds in favor of testing positive as follows:
Odds in favor of testing positive = Number of favorable outcomes / Number of unfavorable outcomes
Number of favorable outcomes = 3
Number of unfavorable outcomes = 63
Odds in favor of testing positive = 3 / 63
Simplifying the fraction, we get:
Odds in favor of testing positive = 1 / 21
Therefore, the odds in favor of a person selected at random testing positive on the test are 1 in 21.
Probability 3/66 = 1/22
Odds (of positive test): 21:1