<PRE><B>Question 341102</B>
Of the 16 students at a party, 4 are from Colorado, 5 are from Utah, and 7 are from Ohio. Four students are selected at random from this group of 16 students. Find the following probablities: 
a. All four of the students are from Ohio.
# of ways to pick 4 from 7: 7C4 = (7*6*5*4)/(1*2*3*4) = 35
# of ways to randomly pick 4 from 16 = 16C4 = (16*15*14*13)(1*2*3*4) = 1820
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P(pick 4 from Ohio) = 35/1820 = 0.0192
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b. None of the students are from Utah.
P(none from Utah) = 11C4/16C4 = 330/1820 =0.1813
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c. At least one of the students is from Utah.
P(at least one from U) = 1 - P(none from U)
= 1 - 0.1813
= 0.8187
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Cheers,
Stan H.
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