Answer:
The probability that it is a red or black marble is 0.6429, or 64.29%
Step-by-step explanation:
Frequentist Probability
The probability of an outcome is defined as the frequency of the number of ways the outcome occurs relative to the number of ways that it could have occurred.
The equation to calculate the probability is:
[tex]\displaystyle P(A)=\frac{m}{n}[/tex]
Where m is the number of ways the event A can occur and n is the total number of ways it could have occurred.
The bag contains 6 red, 5 yellow, and 3 black marbles. If one of them is randomly selected, it can be of any color from a total of n=6+5+3=14
Event A consists of the marble being red or black. It can be taken from m=6+3=9 marbles.
The probability is:
[tex]\displaystyle P(A)=\frac{9}{14}=0.6429[/tex]
The probability that it is a red or black marble is 0.6429, or 64.29%
