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.
