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anonymous
 3 years ago
You toss 3 coins . What is the probability that you get exactly 2 heads, given that you got at least 1 head? A tree diagram will help you answer this question
anonymous
 3 years ago
You toss 3 coins . What is the probability that you get exactly 2 heads, given that you got at least 1 head? A tree diagram will help you answer this question

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hba
 3 years ago
Best ResponseYou've already chosen the best response.0There is one possibility where you get no heads. There are three possibilities where you get 1 head. There are three possibilities where you get 2 heads. There is one possibility where you get 3 heads. But we don't count the possibility where you get no heads at all. So we only have seven possibilities that we're dealing with. So, the odds are 3/7.

hba
 3 years ago
Best ResponseYou've already chosen the best response.0The tree diagram shows 8 equally likely possible outcomes. We must exclude the TTT outcome because it is given that you get at least 1 head. Count all of the branch paths that show exactly 2 heads. There are 3 of them. There are 7 possible outcomes because we eliminated one of them. Therefore, the probability of getting exactly 2 heads in this problem is 3/7.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0where do you get the 7 from

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0since you have 1 head, the possibilities withe the other 2 are: HH, HT, TH, TT. Since you need exactly 2 heads, 2 of the above 4 possibilities are desirable. therefore \[P=\frac{2}{4}=\frac{1}{2}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and how do you get the total number of outcomes

hba
 3 years ago
Best ResponseYou've already chosen the best response.0But we don't count the possibility where you get no heads at all. So we only have seven possibilities that we're dealing with.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Oh okay, I understand now. Thank you.
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