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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
 one year ago
 one year 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
 one year ago
 one year ago

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hbaBest ResponseYou've already chosen the best response.0
There 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.
 one year ago

hbaBest ResponseYou've already chosen the best response.0
The 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.
 one year ago

LMarieeeBest ResponseYou've already chosen the best response.1
where do you get the 7 from
 one year ago

rajathsbhatBest ResponseYou've already chosen the best response.0
since 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 \[P=\frac{2}{4}=\frac{1}{2}\]
 one year ago

LMarieeeBest ResponseYou've already chosen the best response.1
and how do you get the total number of outcomes
 one year ago

hbaBest ResponseYou've already chosen the best response.0
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.
 one year ago

LMarieeeBest ResponseYou've already chosen the best response.1
Oh okay, I understand now. Thank you.
 one year ago
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