To make a 750 -piece jigsaw puzzle more challenging, a puzzle company includes 5 extra pieces in the box along with the 750 pieces, and those 5 extra pieces do not fit anywhere in the puzzle. If you buy such a puzzle box, break the seal on the box, and immediately select 1 piece at random, what is the probability that it will be 1 of the extra pieces?
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When you break the seal on the box, you have a total of 755 pieces (750 puzzle pieces + 5 extra pieces). To find the probability of selecting one of the extra pieces, you use the formula for probability, which is the number of successful outcomes divided by the total number of outcomes. So, the probability of picking one of the extra pieces is the number of extra pieces (5) divided by the total number of pieces (755). Therefore, the probability is \( \frac{5}{755} \), which simplifies to \( \frac{1}{151} \). So there you have it! You've got about a 0.66% chance of picking an extra piece on your first try—now that's a fun little probability puzzle of its own! And remember, even with all those extra pieces, it’s all about enjoying the challenge and puzzle-solving along the way!