In a sample of 800 adults, 228 said that they liked sugar cereals. Three adults are...
In a sample of 800 adults, 228 said that they liked
sugar cereals. Three adults are selected at random without
replacement. Find the probability that all three like sugar
cereals.
Homework Answers
ans) Here total numbers of adults are 800
adults who likes sugar cereals is 228
if we select the three adults (without replacement) who like sugar cereals then
P1(adults likes sugar cereals) = 228/800
now there are 227 remaining adults who like sugar cereals out of 799 adults then
P2((adults likes sugar cereals) =227/799
similiarly,
there are 226 remaining adults who like sugar cereals out of 798 adults then
P3((adults likes sugar cereals) =226/798
probability that all three like sugar cereals = P1*P2*P3
=228*227*226/800*799*798
=11696856/510081600
=0.0229 =2.29%
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