A survey is taken of 4,800 cat owners (each with one cat) is taken concerning sp

Question

A survey is taken of 4,800 cat owners (each with one cat) is taken concerning specific information about their cats. It was found that 2,914 of the cats were female, 1,117 had long hair, 36 were named Spot, 553 were female and had long hair, 7 were female and named Spot, 13 had long hair and were named Spot, and 2 were all three (female, had long hair, and were named Spot).

a) How many cats were female and had long hair, but were not named Spot?

b) How many cats were not female, did not have long hair, and were not named Spot?

Explanation / Answer

A) number of cats who were female and had long hair but not named spot = numbers of cats who were female and had long hair - number of cats who were all three

= 553 - 2

= 551

B) number of cats who were female or had long hair or named spot = 2914 + 1117 + 36 - 553 - 7 - 13 + 2

= 3496

Number of cats who were not female, did not have long hair and were not named spot = 4800 - 3496 = 1304

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