Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive 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.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.