In a standard deck of 52 cards, there are 4 aces. Therefore, the probability of drawing an ace on a single trial is given by: ‌ Probability ‌=‌
4
52
=‌
1
13
When drawing two cards with replacement, the situation can be modeled using a binomial distribution where the number of trials is 2 and the probability of success (drawing an ace) is ‌
1
13
. The mean (or expected value) of a binomial distribution is calculated as: Mean = Number of trials × Probability of success =2×‌
1
13
=‌
2
13
Therefore, the mean of the probability distribution of X, where X denotes the number of aces drawn, is ‌