Question

Michael has a box of colored balls. It contains two red balls, two green balls, two...

Michael has a box of colored balls. It contains two red balls, two green balls, two yellow balls, and five blue balls. Michael draws a ball at random from the box

Let R denote the event that the ball he draws is red, and let B denote the event that the ball he draws is blue.
What is Pr(R|B)?
What is Pr(R|B′)?
Enter your answers as whole numbers or fractions in lowest terms.

A bag contains four 1-dollar bills, three 5-dollar bills, and two 10-dollar bills. An experiment consists of drawing three random bills from the bag simultaneously. Thus, the experiment has C(9,3)=84 equally likely outcomes in its sample space.
What is the probability that at most one 5-dollar bill was drawn, given that no 10-dollar bills were drawn?
Enter your answer as a fraction in lowest terms.

Suppose A={b,c,d,e,f}
A subset of A is selected at random -- i.e. all subsets have an equal chance of being selected. If the subset is not empty, what is the probability it contains the element b?

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