document.write( "Question 1194088: Six cats and seven dogs are in the local animal shelter. Four animals are chosen at random to visit a local school to educate the children on the great need for homes for these animals.
\n" ); document.write( "b)What is the probability that at least one cat is chosen? \n" ); document.write( "

Algebra.Com's Answer #826199 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "P(at least one cat) = 1-P(no cats) = 1-P(4 dogs)

\n" ); document.write( "The probability of selecting 4 dogs and 0 cats is

\n" ); document.write( " $\"%28C%287%2C4%29%2AC%286%2C0%29%29%2FC%2813%2C4%29+=+35%2F715+=+7%2F143\"$

\n" ); document.write( "Another way to calculate the probability of choosing 4 dogs is to look at the probabilities that choosing the animals one at a time produces the desired outcome.

\n" ); document.write( "P(dog on first selection) = 7/13
\n" ); document.write( "P(dog on second selection) = 6/12
\n" ); document.write( "P(dog on third selection) = 5/11
\n" ); document.write( "P(dog on fourth selection) = 4/10

\n" ); document.write( "P(all dogs) = (7/13)(6/12)(5/11)(4/10) = 7/143

\n" ); document.write( "So the probability of choosing at least 1 cat is

\n" ); document.write( "ANSWER: 1 - 7/143 = 136/143
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