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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.

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