I have coin $A$ and coin $B$, and probabilities of obtaining heads are $\theta_A=0.79$ for coin $A$ and $\theta_B=0.58$ for coin $B$. Given that the result of the experiment of $10$ tosses of one of the two coin was $HTTHHHTTHT$ which coin is more likely to produce it.
I have met this problem when taking expectation maximisation module. I am really struggling to understand how to use empirical observation to calculate the chances of using each die.