Question

If we throw two coins in the air, then the probability of getting both tails will be:

Answer 1

Step-by-step explanation:

Is this a classic and fair coin? Assume the more general version of a two-faced coin with edges, an RNG for three classical events - H with probability pH , T with probability pT , neither H or T (E), the edge - with probability pE , such that pH+pT+pE=1 .

Now assume the more general quantum coin with possible superpositioning of all three of these classical events with all classical pure states - 3 -qudit states with two flips:

|Ψ⟩=∑i,j∈{T,H,E}(pipj−−−√)|(i,j)⟩(1)

Each distinctive pure state of a double flip with outcome (i,j) has probability α2=pipj of appearing. So, each 2-flip pure state (i,j) has an amplitude of pipj−−−√ .

In purely classical flips, the probability of two tails in two flips is p2T . In the further simplified case of a fair classical coin pH=pT=12 with pE=0 , this probability reduces to (12)2=14 .