Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the number of m&ms of each color that were found in a case with 1979 m&…

Question

the number of m&ms of each color that were found in a case with 1979 m&ms is given in the table below.

colorfreq
blue355
brown431
green500
orange279
red123
yellow291

find the probability that a randomly selected m&m will be in the category \green\.
give your answer rounded to three decimal places.
question help: video message instructor

Explanation:

Step1: Recall probability formula

The probability $P(A)$ of an event $A$ is given by $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify favorable and total outcomes

The number of green M&Ms (favorable outcomes) is $n_{green}=500$. The total number of M&Ms (total outcomes) is $n_{total}=355 + 431+500+279+123+291 = 1979$.

Step3: Calculate the probability

$P(\text{green})=\frac{500}{1979}\approx 0.253$.

Answer:

$0.253$