A couple hires a typist to prepare invitations for their upcoming wedding. However, due to budget constraints, they end up underpaying the typist. Each invitation consists of an elegant card indicating the guest’s name, and an envelope that also has the guest’s name written on it. On the day that the typist was to receive her pay, both cards and envelopes have already been (separately) prepared, and the only remaining work was for her to put the cards in their respective envelopes. Disappointed with being shortchanged, she decides to put the cards into random envelopes. Assuming the typist did not intentionally put the cards into the wrong envelopes, and for each card was blindly choosing any random envelope (say, with eyes closed), on average how many cards are put into the right envelope? (Hint: assume ? is the number of guests. Take a variable ? where ? = 1 for a card that is put into the right envelope, and ? = 0 if not. The problem can be simplified by ignoring the order.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A couple hires a typist to prepare invitations for their upcoming wedding. However, due to budget constraints, they end up underpaying the typist. Each invitation consists of an elegant card indicating the guest’s name, and an envelope that also has the guest’s name written on it. On the day that the typist was to receive her pay, both cards and envelopes have already been (separately) prepared, and the only remaining work was for her to put the cards in their respective envelopes. Disappointed with being shortchanged, she decides to put the cards into random envelopes. Assuming the typist did not intentionally put the cards into the wrong envelopes, and for each card was blindly choosing any random envelope (say, with eyes closed), on average how many cards are put into the right envelope? (Hint: assume ? is the number of guests. Take a variable ? where ? = 1 for a card that is put into the right envelope, and ? = 0 if not. The problem can be simplified by ignoring the order.)
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