Question

In: Statistics and Probability

Suppose a three element subset of {a,b,c,d,e} is selected at random. What is the probability the...

Suppose a three element subset of {a,b,c,d,e} is selected at random. What is the probability the subset will contain the element c? What is the probability it will contain neither of the elements d and e?

Solutions

Expert Solution

Total cases three elements subset chosen is 5C3=10

Probability subset will contain elements C=

=1-P(not contain C)

Favourable cases that not contain C in three elements =chose three elements out of 4 elements (a, b, d, e) except c

Favourable cases that not contain d and e = three elements choose from (a, b, c) except d and e because there no d and e contain in three elements subset Thanks


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