Step 1 :This is a combinatorics problem. We need to find the number of ways to choose 6 lures from a total of 12 lures, with the condition that at least 4 of them must be spinnerbaits.
Step 2 :We can solve this problem by considering the different cases separately: choosing 4, 5, or 6 spinnerbaits.
Step 3 :For each case, we calculate the number of ways to choose the remaining lures from the crankbaits.
Step 4 :We then sum up the results of all cases to get the final answer.
Step 5 :Final Answer: The number of ways Ali can choose 6 lures if 4 or more must be spinnerbaits is \(\boxed{462}\).