Data Science, Probability, Statistics, Basics, Machine Learning.
facing down (x = 0) out of 5 trials, the probability of a card facing down is Pr(x=0) = 3/5 = 0.6. On the other hand, the probability of a card facing up (x = 1) is 2 out of 5 so it would be Pr(x=1) = 2/5 = 0.4. Note that the sum of all the states (x = 0 and x = 1) is 1 and this is always the case