# Thread: Geometric probability Distribution

1. ## Geometric probability Distribution

1) Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must tossed it at least two more times to obtain the first head?

hyper geometric probability

Twenty identical looking packets of white powder such that 15 contain cocaine and 5 do not. 4 packet randomly selected and found to contain cocaine. 2 additional were selected from remainder so sold to a person. what is the probability 6 packets randomly selected such that first 4 contain cocaine and 2 sold to the buyer do not?

2. Originally Posted by fatduck88
1) Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must tossed it at least two more times to obtain the first head?

[snip]
Coins have no memory.

Pretend you're tossing coins for the first time. Find Pr(at least two tosses before first head). Apply the geometric distribution to this problem.

3. Originally Posted by fatduck88
[snip]hyper geometric probability

Twenty identical looking packets of white powder such that 15 contain cocaine and 5 do not. 4 packet randomly selected and found to contain cocaine. 2 additional were selected from remainder so sold to a person. what is the probability 6 packets randomly selected such that first 4 contain cocaine and 2 sold to the buyer do not?
*Sigh* A clumsy attempt to give the question relevance I suppose .....

Regarding "what is the probability 6 packets randomly selected such that first 4 contain cocaine and 2 sold to the buyer do not" ..... are the 2 sold to the buyer the same two that "2 additional were selected from remainder so sold to a person" refers to?

I find the wording of this whole question disturbing and difficult to follow. Regarding the latter, perhaps you could post the question exactly as it was originally worded ....

### given that we have already tossed a balanced coin ten times and obtained zero heads.what is the probability that we must toss it at least two more times to obtain the first head

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