Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

You randomly draw a marble, put it back, and then randomly draw a marble.What is the probability of drawing a yellow marble and then drawing a green marble? Write answer as a fraction.

You Randomly Draw A Marble Put It Back And Then Randomly Draw A MarbleWhat Is The Probability Of Drawing A Yellow Marble And Then Drawing A Green Marble Write A class=

Sagot :

Given:

The total number of marbles =7.

The number of yellow marbles = 2.

The number of green marbles =2.

The marbles are replaced after being drawn.

To find:

We need to find the probability of drawing a yellow marble and then drawing a green marble.

Explanation:

The probability of drawing yellow marble P(Y).

[tex]P(Y)=\frac{The\text{ number of yellow marbles}}{The\text{ total number of marbles}}[/tex][tex]P(Y)=\frac{2}{7}[/tex]

The probability of drawing green marble P(G).

[tex]P(G)=\frac{The\text{ number of gr}een\text{ marbles}}{The\text{ total number of marbles}}[/tex]

[tex]P(G)=\frac{2}{7}[/tex]

The probability of drawing a yellow marble and then drawing a green marble is

[tex]=P(Y)\times P(G)[/tex]

[tex]=\frac{2}{7}\times\frac{2}{7}[/tex]

[tex]=\frac{4}{49}[/tex]

Final answer:

The probability of drawing a yellow marble and then drawing a green marble is 4/49.

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.