An experiment consists of tossing a coin six times and observing the sequence of heads and tails

a) how many different outcomes are possible

Question

An experiment consists of tossing a coin six times and observing the sequence of heads and tails

a) how many different outcomes are possible

anonymous · Answer

There are 2 possibilities for each toss and each toss is independent of the others...
so...
2 x 2 x 2 x 2 x 2 x 2

anonymous · Answer

There are 2 possible options for each spin so its 2^6=64

anonymous · Answer

ok so now how many different outcomes have exactly three heads?

anonymous · Answer

HHHTTT
HHTHTT
HHTTHT
HHTTTH
HTHHTT
HTHTHT
HTHTTH
HTTHHT
HTTHTH
HTTTHH
THHHTT
THHTHT
THHTTH
THTHHT
THTHTH
THTTHH
TTHHHT
TTHHTH
TTHTHH
TTTHHH

anonymous · Answer

how do you figure that out quick

anonymous · Answer

Or..Combinations of 6 taken 3 at a time...
There are 6 different rolls on which the heads could occur
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