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A four-person student advisory committee is to be randomly selected from five senior boys and six senior girls. What is the probability that the committee will be all senior boys?Please help!

nguyenphuc1412

by nguyenphuc1412 at April 01, 2012

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four people can be selected... _ _ _ _= the four positions there are <5> boys and <6> girls . in total there are 11 students to CHOOSE from..(so we're dealing with combination) If there are going to be all boys, we can just look at the 5 guys..and REMEMBER THAT as we choose, the number of boys to choose from decreases by 1 AND the total numbr of students to choose from decreases by 1..logic the possibility of the  first being a guy is (5/11) i.e 5 boys out of the 11 students wanting to be picked the possibility of the 2nd being a guy is (4/10) i.e 4 boys out of 10 students left the possibility of the 3rd advisory committtee being a guy is (3/9) i.e 3 out of the 9 left AND the possiblilty of the last pick being a guy AGAIN is (2/8) 2 guys out of the 8 students left Therefore the possibilty of having all the students in the committee as guys will be; (5/11) * (4/10) * (3/9) * (2/8) = 1/66 Simpler..using your calculator (required outcome/total possible outcomes) 5(combination function on calculator)4 / 11(combination function on calculator) 4 =1/66 I hope this was helpful

Zsuzsannepy Zsuzsannepy April 01, 2012

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thank you!!

nguyenphuc1412 nguyenphuc1412 April 03, 2012

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