Question

In: Statistics and Probability

Paige Turner loves finite mathematics. She has six books about probability and five books about matrices....

Paige Turner loves finite mathematics. She has six books about probability and five books about matrices. She lends her friend Anita Tudor four of these books, selected completely randomly.

What is the probability Paige lends Anita two books on each topic (i.e. two matrix books and two probability books), given that she lends her at least one book on each topic?

What is the probability Paige lends Anita four books on matrices, given that all the books she lends her are on the same topic?

Enter your answers as whole numbers or fractions in lowest terms.

An experiment has sample space S={a,b,c,d,e}, with all outcomes equally likely.

Consider events E={a,c,e} and F={c,d,e}

What is Pr(E|F)?
What is Pr(E|F′)?
What is Pr(E′|F)?
What is Pr(E′|F′)?

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