section 5.1 homework\nscore: 6/17 answered: 6/17\nquestion 7\na bowl contains 14 marbles that consist of 4…

section 5.1 homework\nscore: 6/17 answered: 6/17\nquestion 7\na bowl contains 14 marbles that consist of 4 red, 2 white, and 8 black marbles. one marble is select random from the bowl and the color is observed.\nthe possible outcomes are {red, white, black}\nis each outcome equally likely?\nwhich outcome is more likely? select an answer\np(white) = give answer as a fraction.

section 5.1 homework\nscore: 6/17 answered: 6/17\nquestion 7\na bowl contains 14 marbles that consist of 4 red, 2 white, and 8 black marbles. one marble is select random from the bowl and the color is observed.\nthe possible outcomes are {red, white, black}\nis each outcome equally likely?\nwhich outcome is more likely? select an answer\np(white) = give answer as a fraction.

Answer

Explanation:

Step1: Calculate total number of marbles

There are 14 marbles in total.

Step2: Calculate probability of each color

The probability of an event $E$ is given by $P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. For red marbles: $P(\text{Red})=\frac{4}{14}=\frac{2}{7}$. For white marbles: $P(\text{White})=\frac{2}{14}=\frac{1}{7}$. For black marbles: $P(\text{Black})=\frac{8}{14}=\frac{4}{7}$.

Step3: Check equal - likelihood

Since $\frac{2}{7}\neq\frac{1}{7}\neq\frac{4}{7}$, the outcomes are not equally likely.

Step4: Determine the most likely outcome

Since $\frac{4}{7}>\frac{2}{7}>\frac{1}{7}$, black is the more likely outcome.

Answer:

No, black, $\frac{1}{7}$