Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

every person has one of eight blood types, determined by molecules on t…

Question

every person has one of eight blood types, determined by molecules on the surface of their red blood cells. individuals can only receive specific blood types, usually the one that matches their own. use the circle graph showing the percentage of individuals with each blood type to answer parts a and b. a. what are the odds in favor of randomly selecting an individual with blood type o - positive? the odds in favor of selecting an individual with blood type o - positive are : (simplify your answers.) blood types in a certain country ab - positive, 1% b - negative, 2% ab - negative, 3% a - negative, 6% b - positive, 8% o - negative, 12% a - positive, 30% o - positive, 38%

Explanation:

Step1: Recall the formula for odds

The odds in favor of an event $E$ is given by $\frac{P(E)}{1 - P(E)}$, where $P(E)$ is the probability of the event $E$.

Step2: Identify the probability of blood - type O - positive

From the pie - chart, the probability $P$ of selecting an individual with blood type O - positive is $P = 0.38$.

Step3: Calculate the odds

Substitute $P = 0.38$ into the odds formula. First, $1 - P=1 - 0.38 = 0.62$. Then the odds in favor of selecting an individual with blood type O - positive is $\frac{0.38}{0.62}=\frac{38}{62}=\frac{19}{31}$.

Answer:

$19:31$