document.write( "Question 254677: you have an equally likely chance of choosing any integer from the set {1,2,3,4,5,6,7,8,9,10,11,12}. find the probability of the given event: A) an even number is chosen, B) a multiple of three is chosen, C) a prime number is chosen, D) a two digit number is chosen. \n" ); document.write( "
Algebra.Com's Answer #187015 by palanisamy(496)\"\" \"About 
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The given set is {1,2,3,4,5,6,7,8,9,10,11,12}.
\n" ); document.write( "We have to choose an integer from this set.
\n" ); document.write( "Total number of ways = 12
\n" ); document.write( "A) The even numbers are 2,4,6,8,10,12
\n" ); document.write( "There are 6 even numbers.
\n" ); document.write( "So we can select one in 6 ways.
\n" ); document.write( "Probability of choosing an even integer = 6/12 = 1/2
\n" ); document.write( "B)a multiple of three is chosen.
\n" ); document.write( "The multiples of 3 are 3,6,9,12
\n" ); document.write( "There are 4 numbers.
\n" ); document.write( "So we can select one in 4 ways.
\n" ); document.write( "Probability of choosing a multiple of three = 4/12 = 1/3
\n" ); document.write( "C) a prime number is chosen,
\n" ); document.write( "The prime numbers are 2,3,5,7,11
\n" ); document.write( "There are 5 numbers.
\n" ); document.write( "So we can select one in 5 ways.
\n" ); document.write( "Probability of choosing a prime = 5/12
\n" ); document.write( "D) a two digit number is chosen.
\n" ); document.write( "The two digit numbers are 10,11,12
\n" ); document.write( "There are 3 numbers.
\n" ); document.write( "So we can select one in 3 ways.
\n" ); document.write( "Probability of choosing a two digit number = 3/12 = 1/4 \r
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