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[1] On a recent English test, students were given the names of four authors and four novels (one author one title), and asked to match each novel, with the correct author. If a student just guesses randomly, what is the probability of getting zero, one, two, three or four correct?

[2] You are to select two cards one at a time from a well-shuffled deck of 52 playing cards (jokers not allowed). You want to get a heart as the first card and a King (K) as the second.
If you are given the following two options to do this, which option would you choose,
Option #1: to be allowed to select the first card and put it back into the deck before selecting the second card, or
Option #2: to be allowed to keep the first card (not to put it back to the deck) and select the second one?
a) Explain why you think your choice is better.
b) What is the probability to select such two cards under option #1?
c) What is the probability to select such two cards under option #2?
d) Does your choice from a) agree with the results from b) and c)? Explain.

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Solution Summary

This provides examples of working with probabilities regarding cards and matching.