Join the conversation on IDNLearn.com and get the answers you seek from experts. Join our knowledgeable community and get detailed, reliable answers to all your questions.

1. A marble will be randomly selected from a bag of solid-colored marbles. The probability of selecting a red marble is [tex]\frac{5}{19}[/tex]. The probability of selecting a blue marble is [tex]\frac{4}{19}[/tex]. What is the probability of selecting a red marble or a blue marble?

A. [tex]\frac{1}{19}[/tex]
B. [tex]\frac{9}{19}[/tex]
C. [tex]\frac{9}{38}[/tex]
D. [tex]\frac{20}{38}[/tex]
E. [tex]\frac{20}{361}[/tex]

The correct answer is [tex]\frac{9}{19}[/tex].


Sagot :

To solve the problem, we need to find the probability of selecting either a red marble or a blue marble from the bag. This can be done by adding the probabilities of selecting a red marble and a blue marble.

Given:
- The probability of selecting a red marble is [tex]\( \frac{5}{19} \)[/tex].
- The probability of selecting a blue marble is [tex]\( \frac{4}{19} \)[/tex].

The probability of selecting a red or a blue marble is the sum of these two probabilities:

[tex]\[ \text{Probability of red or blue} = \frac{5}{19} + \frac{4}{19} \][/tex]

Since the denominators are the same, we can directly add the numerators:

[tex]\[ \text{Probability of red or blue} = \frac{5 + 4}{19} = \frac{9}{19} \][/tex]

Therefore, the probability of selecting a red or blue marble is [tex]\( \frac{9}{19} \)[/tex].

The correct answer is:
B. [tex]\( \frac{9}{19} \)[/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.