if i flip a coin 5 times AND it is somehow known that exactly two heads have occurred
what is the probability that heads flips occurred together (right next to each other)?
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05-08-2024, 10:52 PM #1
if i flip a coin 5 times, what is .... [math time]
take care misc, it's been fun
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05-08-2024, 10:57 PM #2
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05-08-2024, 10:57 PM #3
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05-08-2024, 11:01 PM #4
There are 3 tails and 2 heads so you are basically asking the # of ways they can be together out of the total. Total number of ways is (5 c 2) and the total ways they can be together is (4 c 1) because there are 4 places to put the pair. So should be 4/10=0.4.
Last edited by WCline; 05-08-2024 at 11:07 PM.
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05-08-2024, 11:30 PM #5
I'm tired, so I must be missing something obvious.
There are 2 ways the coin can land and you flip it 5 times, so that is 2^5=32 possible combinations
There are 4 ways it can be heads twice in a row
hhttt
thhtt
tthht
ttthh
So 4 out of 32, or 1 in 8 or 0.125
That seems far too easy, but I am tired.Screw nature; my body will do what I DAMN WELL tell it to do!
The only dangerous thing about an exercise is the person doing it.
They had the technology to rebuild me. They made me better, stronger, faster......
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