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Question

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?

A
15
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B
1755
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C
1750
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D
5755
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E
5750
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Solution

The correct option is D 5755
Total number of pieces in the puzzle 750+5 extra pieces=755 pieces.
Therefore, the number of ways of selecting 1 piece at random is 755C1
n(S)=755
Total number of extra pieces is 5.
Let A be the event of selecting 1 piece of the extra pieces.
Therefore, number of ways of selecting 1 piece of the extra pieces is 5C1.
n(A)=5
Therefore, the probability that it will be 1 of the extra pieces is P(A)=n(A)n(S)
P(A)=5755
Hence, the probability that it will be 1 of the extra pieces is 5755.

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