tashavalley
Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The diagram below shows the contents of a jar from which you select marbles at random.

a. What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
b. What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
c. Are the answers to parts (a) and (b) the same? Why or why not?




The Diagram Below Shows The Contents Of A Jar From Which You Select Marbles At Random A What Is The Probability Of Selecting A Red Marble Replacing It And Then class=

Sagot :

SchwarzschildRadius
So,

There are 4 red marbles.
There are 7 blue marbles.
There are 5 green marbles.
There are 16 marbles in total.

a.
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
[tex] \frac{4}{16} \ or\ \frac{1}{4} [/tex]

Next, the probability of selecting a blue marble.
[tex] \frac{7}{16} [/tex]

Multiply the probabilities together.
[tex] \frac{1}{4} * \frac{7}{16} = \frac{7}{64} [/tex]
That is the probability for event a.


b.
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
[tex] \frac{4}{16} \ or\ \frac{1}{4} [/tex]

Next, the probability of selecting a blue marble WITH A RED MARBLE REMOVED.
[tex] \frac{7}{15} [/tex]

Multiply the probabilities together.
[tex] \frac{1}{4} * \frac{7}{15} = \frac{7}{60} [/tex]
That is the probability for event b.

c.
Obviously:
[tex] \frac{7}{64} \neq \frac{7}{60} [/tex]
So the answer is no.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.