Chapter 7.41.Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs ahandful at random. She has seen a bag containingfourred marbles,twogreenones,fivewhite ones, andthreepurple ones. She grabseightof them. Find theprobability of the following event, expressing it as a fraction in lowest terms. HINT[See Example 1.]

2.Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs ahandful at random. She has seen a bag containingthreered marbles,fivegreenones,threewhite ones, andtwopurple ones. She grabssevenof them. Find theprobability of the following event, expressing it as a fraction in lowest terms. HINT[See Example 1.]She has at least one green one.3.Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs ahandful at random. She has seen a bag containingfourred marbles,fourgreenones,threewhite ones, andtwopurple ones. She grabsfiveof them. Find theprobability of the following event, expressing it as a fraction in lowest terms. HINT[See Example 1.]

4.Calculate the probability of being dealt the following poker hand. (Recall that a pokerplayer is dealt 5 cards at random from a standard deck of 52.) Express your answeras a decimal rounded to four decimal places. HINT [See Example 3.]

5.Your company is considering offering300employees the opportunity to transfer to itsnew headquarters in Ottawa and, as personnel manager, you decide that it would befairest if the transfer offers are decided by means of a lottery. Assuming that yourcompany currently employs200managers,300factory workers,and800miscellaneous staff, find the following probabilities, leaving the answers asformulas.a.All the managers will be offered the opportunity.i.C(x, y)C(x, y)b.You will be offered the opportunity.