Slot Machine Odds ~ Please help!

[krisolaw]

A "Wild 7's" slot machine has 3 wheels on it. On each wheel there are four 7 symbols and 6 blanks. Find the odds of hitting the jackpot by getting a 7 symbol on the pay line on each wheel of the slot machine.

I need help setting this one up. Thanks in advance!

I know that on each wheel the "7's" are = to 4/10 so the blanks are = 6/10 but after that I am a little confused.

 

[Denis]

4/10 = 2/5

(2/5)^3 = 8/125 : DON'T PLAY!

 

[soroban]

Hello, krisolaw!

A "Wild 7's" slot machine has three wheels on it.
On each wheel there are four 7 symbols and six blanks.
Find the odds of hitting the jackpot by getting a 7 symbol on the pay line on each wheel of the slot machine.

The probability of getting a "7" on any one wheel is \(\displaystyle \frac{2}{5}\)

The prob. of getting a "7" on all three wheels is: \(\displaystyle \frac{2}{5}\ \times\ \frac{2}{5}\ \times\ \frac{2}{5} \;= \;\frac{8}{125}\)

The odds are .\(\displaystyle 8\ :\ 117\)