# math

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a fair coin is tossed in the air 4 times. if the coin lands heads up the first three tosses, what is the probability the coin will land heads up the fourth toss?
I think it is 1/2 because the coin has 2 sides and 50% it will land on heads.
My friend thinks it is 1/16, since each toss is 1/2, so 1/2 *1/2*1/2*1/2=1/16 since you mult each toss
Am I correct or is my friend?
Thanks for the help

• math -

You're right. Each toss is independent of other tosses. Therefore each toss has a 1/2 chance of landing heads up.

• math -

Thank you!!!

• math -

You're welcome.

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