a bag contains seven green Marbles and four white marbles. You select a marble at random. What are the odds in favor of picking a green marble.1) 7:112) 7:43) 4;74)3:7these are the options for answer

Respuesta :

There are seven green marbles and four white ones; therefore, there are 7+4=11 marbles in the bag. Then, the odds of drawing a green marble are

[tex]\begin{gathered} odds=\frac{probability}{1-probability} \\ \Rightarrow odds(green)=\frac{\frac{7}{11}}{1-\frac{7}{11}}=\frac{\frac{7}{11}}{\frac{4}{11}}=\frac{7}{4} \end{gathered}[/tex]

Written as a ratio,

[tex]\Rightarrow odds(green)=7:4[/tex]

Thus, the answer is 7:4, option 2.