![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4e9e9367b0155590af956a115ece3fe0.png\")
Step 1 : \ \
\1). Use the counting principles to calculate the probability of winning the Mega Millions jackpot.
\2). Use the counting principles to calculate the probabilities of other winning combinations.
\3). Calculate the expected value of the game to determine if it is worth purchasing a $1 lottery ticket for a chance to win the large jackpot prize and use a jackpot value of $42 million for our calculation.
\Step 2 :
\The number of ways to select five numbers from a pool of 75 number :
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The number of ways to select one number from a pool of 15 number :![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9067c02698efe93b7b2057f3d2c0339d.png\")
Thus, the total number of Mega Millions jackpot combinations is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=07dbc5c606b821c819e97d9f8af9c6cf.png\")
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Step 3 :
\There is only one way that the first five numbers on your lottery ticket can match the five selected white numbers. There is also only one way for the sixth number on your lottery ticket to match the Mega Number. Therefore, there is one way to win the jackpot.
\The probability of winning the jackpot is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=af97fa3aaf77de84300edf603b6fc42b.png\")
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