a food lab conducted a blind taste test to determine if organic fruits taste better than non - organic…

a food lab conducted a blind taste test to determine if organic fruits taste better than non - organic fruits. each participant ate one type of fruit. organic non - organic apples 6 3 peaches 3 3 what is the probability that a randomly selected participant tasted apples and preferred non - organic? simplify any fractions.

a food lab conducted a blind taste test to determine if organic fruits taste better than non - organic fruits. each participant ate one type of fruit. organic non - organic apples 6 3 peaches 3 3 what is the probability that a randomly selected participant tasted apples and preferred non - organic? simplify any fractions.

Answer

Explanation:

Step1: Find total number of apple - tasters

Add the number of participants who tasted organic and non - organic apples. So, $6 + 3=9$.

Step2: Calculate the probability

The number of participants who tasted apples and preferred non - organic is 3. The probability $P$ is the number of favorable outcomes (tasted apples and preferred non - organic) divided by the total number of outcomes (tasted apples). So, $P=\frac{3}{9}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$