Question

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

Answer 1

`(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)`