Does Collecting Multiple Power Up Blocks Increase The Chance Of Getting A Good Powerup?

I have had Mario Kart for a long time now and have enjoyed it a lot (except when those freaking red turtle shells come at me). My question is about a habit that I have had when playing of trying to pick up multiple power up blocks if I have the chance thinking it will increase my chance of getting a good item. I now want to find out if this actually does help my chances at all of getting a good item. Thanks!