There are 16 cats and 14 dogs in a local animal shelter. Which phrase describes a ratio relationship between the two quantities?

A.
the number of cats in the shelter compared to the number of dogs in the neighborhood

B. the number of cats in the shelter compared to the number of cats in the shelter

C. the number of dogs in the shelter compared to the number of cats in the shelter

D. the number of dogs in the shelter compared to the number of rabbits in the shelter

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85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

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