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In: Statistics and Probability

Can someone please answer this before Friday? Anna, Donna and Elena are college students and it’s...

Can someone please answer this before Friday?

Anna, Donna and Elena are college students and it’s time for the selection of the women’s hockey team. Anna and Elena are the only players who play as goal-keepers. Hence, exactly one of them has to be chosen. The chance of Anna being chosen is 40%.

(a) The chance of both Anna and Donna being chosen is 10%. What is the maximum and minimum chance of Donna being chosen?

(b) Suppose that the chance of Donna being chosen is 60% and that of both Donna and Anna being chosen is 20%. What is the chance that both Donna and Elena are chosen? What is the chance that Elena is chosen but Donna is not?

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