Question

If your chances of losing the shell game if you randomly pick is 2 in 3 what are the chances that you would lose 3 games in a row Answer the following problems using either addition rule make sure to reduce your fraction show all your work

Answer 1

Given that the cahnces of losing the shell game if you picked randomly is 2 in 3.

Let's find the chances that you would lose 3 games in a row.

The chance that you would lose one game is:

`(2)/(3)`

Therefore, to find the change that you would lose 3 games in a row, we have:

`((2)/(3))^n`

Where n = 3.

Thus, we have:

`\begin{gathered} ((2)/(3))^3 \\ \\ =(2)/(3)\ast(2)/(3)\ast(2)/(3) \\ \\ =(2\ast2\ast2)/(3\ast3\ast3) \\ \\ =(8)/(27) \end{gathered}`

Therefore, the chances that you would lose 3 games in a row is:

`(8)/(27)`

ANSWER:

`(8)/(27)`