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AS MATHS HELP - Probability distrubution

Question:
A biased coin is tossed until a head appears or it is tossed four times.
If P(head)= 2/3 :
Write down the probability distribution of S, the number of tosses, in table form.
Please Help! Thanks
Reply 1
Original post by vickymads
Question:
A biased coin is tossed until a head appears or it is tossed four times.
If P(head)= 2/3 :
Write down the probability distribution of S, the number of tosses, in table form.
Please Help! Thanks

You know what the maximum number of tosses is, as well as the value of the final toss and what sequence leads up to it, so what are you stuck with? So
p(single toss) = ...
p(two tosses) = ...
...
(edited 3 years ago)
Reply 2
Original post by mqb2766
You know what the maximum number of tosses is, as well as the value of the final toss and what sequence leads up to it, so what are you stuck with? So
p(single toss) = ...
p(two tosses) = ...
...

I have to do it in table form .. Im not sure how
Reply 3
Original post by vickymads
I have to do it in table form .. Im not sure how

Have you worked out the probabilities for 1 toss, 2 tosses, 3 tosses, 4 tosses?
It simply means to list those probabilities (as a very simple table).
Reply 4
Original post by mqb2766
Have you worked out the probabilities for 1 toss, 2 tosses, 3 tosses, 4 tosses?
It simply means to list those probabilities (as a very simple table).

Thats what i dont get
I know that first toss its 2/3
but in not sure for the 2,3,4
Reply 5
Original post by vickymads
Thats what i dont get
I know that first toss its 2/3
but in not sure for the 2,3,4

If it ends after 2 tosses, what was the sequence and hence the probability?
Similarly for 3 and 4 just needs a bit extra logic.

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