diff --git a/src/cli_interface.cpp b/src/cli_interface.cpp
index 0752238..b975eb3 100644
--- a/src/cli_interface.cpp
+++ b/src/cli_interface.cpp
@@ -1,6 +1,9 @@
 #include <cstdio>
+#include <cmath>
 #include <csignal>
+#include <iomanip>
 #include <readline/readline.h>
+#include <ranges>
 #include <readline/history.h>
 #include <iostream>
 #include <memory>
@@ -84,44 +87,59 @@ namespace Hanabi {
         }
     }
 
+    int representation_length(probability_t probability) {
+        return 1 + static_cast<int>(std::ceil(std::log10(probability.denominator()))) + \
+                static_cast<int>(std::ceil(std::log10(probability.numerator())));
+    }
+
     bool ask_for_card_and_rotate_draw(const std::shared_ptr<HanabiStateIF>& game, hand_index_t index, bool play) {
         const auto next_states = game->possible_next_states(index, play);
+
         if (next_states.size() <= 1) {
+            // No need to ask for anything if draw contains only one possible type of card
             return true;
         }
+
+        std::vector<std::pair<CardMultiplicity, std::optional<probability_t>>> states_to_show;
+        states_to_show.push_back({{Hanabi::Cards::trash, 0}, 0});
+
         std::cout << "Choose drawn card: " << std::endl;
-        unsigned num_trash = 0;
-        std::optional<probability_t> trash_discard_prob = 0;
+        int max_rational_digit_len = 0;
         for(const auto &[card_multiplicity, probability]: next_states) {
             // If the card is played, we can treat it as a trash draw as well
             if (game->is_trash(card_multiplicity.card) or (play and game->cur_hand()[index] == card_multiplicity.card)) {
-                num_trash += card_multiplicity.multiplicity;
-                trash_discard_prob = probability;
+                states_to_show.front().first.multiplicity += card_multiplicity.multiplicity;
+                states_to_show.front().second = probability;
             } else {
-                std::cout << card_multiplicity.card << " (" << card_multiplicity.multiplicity;
-                std::cout << " copie(s) in draw) " << probability << std::endl;
+                states_to_show.emplace_back(card_multiplicity, probability);
+            }
+            if (probability.has_value()) {
+                max_rational_digit_len = std::max(max_rational_digit_len, representation_length(probability.value()));
             }
         }
 
-        if (num_trash > 0) {
-            std::cout << Cards::trash << " (" << num_trash << " copie(s) in draw) " << trash_discard_prob << std::endl;
+        // Get rid of the trash collecting entry at the front
+        if (states_to_show.front().first.multiplicity == 0) {
+            states_to_show.front() = std::move(states_to_show.back());
+            states_to_show.pop_back();
+        }
+
+        std::ranges::sort(states_to_show, [](const auto &left, const auto &right) {
+            return left.second > right.second;
+        });
+
+        for (const auto &[card_multiplicity, probability]: states_to_show) {
+            std::cout << card_multiplicity.card << " (" << card_multiplicity.multiplicity;
+            std::cout << " copie(s) in draw) " << std::setw(max_rational_digit_len) << probability << std::endl;
         }
 
         std::stringstream prompt;
-        prompt << "draw? [";
-        if (num_trash > 0) {
-            prompt << Cards::trash;
-        } else {
-            prompt << next_states.front().first.card;
-        }
-        prompt << "] ";
+        prompt << "draw? [" << states_to_show.front().first.card << "] ";
         const std::string card_str = read_line_memory_safe(prompt.str().c_str());
-        const Card drawn_card = [&card_str, &num_trash, &next_states](){
+
+        const Card drawn_card = [&card_str, &states_to_show](){
             if (card_str.empty()) {
-                if (num_trash > 0) {
-                    return Cards::trash;
-                }
-                return next_states.front().first.card;
+                return states_to_show.front().first.card;
             }
             return parse_card(card_str);
         }();