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Owen has exactly a 50% chance of throwing a winner on each turn in ring toss. If he took three turns in ring toss and at least one of the turns was a winner, what was the probability that all three tosses were winners? Express your answer as a common fraction.

 May 17, 2020
 #1
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Owen's tosses could be:

WWW     *

WWL      *

WLW      *

WLL       *

LWW      *

LWL       *

LLW       *

LLL

 

Of the 8 possibilities, 7 have at least one winner.

We need to consider only these 7 possibilities.

One of these seven has all three winners     --->     Probability  =  1/7

 May 17, 2020

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