If you tossed a coin 10 times, what is the probability of landing on tails every time?

1 Answer
Aug 25, 2016

#(1/2)^10#

Explanation:

Let #A = {a_1,...,a_10}# be the event of tossing a coin 10 times and landing on tails then we know that

#p(A) = p(a_1 ^^ a_2 ^^ ...^^a_10) = p(a_1)p( a_2)...p(a_10) # if they are mutually exclusive, which they are. the probability of landing on tails is #1/2# which leads to

#1/2*1/2...*1/2=(1/2)^10# or #1/(2^10)#