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Cody buys a soda that offers another soda free if he is lucky. The cap reads '1 in 6 wins!', meaning that each soda has a 1/6 probability of winning. Cody sees this and buys six of these sodas, thinking he is guaranteed a seventh. What is the true probability he will win at least one more soda? Express your answer as decimal to the nearest hundredth.

 May 23, 2020
 #1
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I THINK:

he has a 5/6 chance of NOT winning a soda each time

 

(5/6)6 = .335   chance of NOT winning a soda with six purchases

 

1- .335 = .665 chance of WINNING with a six-pak purchase     66.5%

 May 23, 2020
 #2
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Oh okay, thank you!

 May 23, 2020

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