7、Remove the big and small jokers from a deck of cards, and randomly draw 5 cards from the remaining 52 cards. The probability that at least two of the cards have the same number (or letters $\mathrm{J}, \mathrm{Q}, \mathrm{K}, \mathrm{A}$) is $\underline{0.49}$ (require calculating this probability value, accurate to 0.01).
Let the required event be $A$, then the complementary event $\bar{A}$ is “the numbers on the 5 drawn cards are all different”. We will calculate the probability of $\bar{A}$.

Event $\bar{A}$ can be broken down into two steps: the first step is to select 5 different numbers from 13, which has $C_{13}^{5}$ ways; the second step is to assign a suit to each number, with 4 suits available for each number, resulting in $4^{5}$ different choices for 5 numbers. Therefore, event $\bar{A}$ includes $4^{5} C_{13}^{5}$ basic events.

Since the total number of basic events for “randomly drawing 5 cards from 52” is $C_{52}^{5}$, the probability of $\bar{A}$ occurring is $P(\bar{A}) \approx$ 0.5071, thus $P(A)=1-P(\bar{A}) \approx 0.4929$.