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# Winning the jackpot requires that you select the correct five numbers between 1 and 56 and, in a seperate drawing, you must also select the

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Winning the jackpot requires that you select the correct five numbers between 1 and 56 and, in a seperate drawing, you must also select the correct single number between 1 and 39. Find the probability of winning the jackpot.

Guest Dec 2, 2014

#1
+93301
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Winning the jackpot requires that you select the correct five numbers between 1 and 56 and, in a seperate drawing, you must also select the correct single number between 1 and 39. Find the probability of winning the jackpot.

[1/ 56C5]* 1/39

$${\frac{{\mathtt{1}}}{{\left({\frac{{\mathtt{56}}{!}}{{\mathtt{5}}{!}{\mathtt{\,\times\,}}({\mathtt{56}}{\mathtt{\,-\,}}{\mathtt{5}}){!}}}\right)}}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{39}}}}\right) = {\mathtt{0.000\: \!000\: \!006\: \!712\: \!633\: \!7}}$$

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$${\left({\frac{{\mathtt{56}}{!}}{{\mathtt{5}}{!}{\mathtt{\,\times\,}}({\mathtt{56}}{\mathtt{\,-\,}}{\mathtt{5}}){!}}}\right)}{\mathtt{\,\times\,}}{\mathtt{39}} = {\mathtt{148\,972\,824}}$$

### 1 / 148,972,824

Melody  Dec 3, 2014
#1
+93301
+10

Winning the jackpot requires that you select the correct five numbers between 1 and 56 and, in a seperate drawing, you must also select the correct single number between 1 and 39. Find the probability of winning the jackpot.

[1/ 56C5]* 1/39

$${\frac{{\mathtt{1}}}{{\left({\frac{{\mathtt{56}}{!}}{{\mathtt{5}}{!}{\mathtt{\,\times\,}}({\mathtt{56}}{\mathtt{\,-\,}}{\mathtt{5}}){!}}}\right)}}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{39}}}}\right) = {\mathtt{0.000\: \!000\: \!006\: \!712\: \!633\: \!7}}$$

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$${\left({\frac{{\mathtt{56}}{!}}{{\mathtt{5}}{!}{\mathtt{\,\times\,}}({\mathtt{56}}{\mathtt{\,-\,}}{\mathtt{5}}){!}}}\right)}{\mathtt{\,\times\,}}{\mathtt{39}} = {\mathtt{148\,972\,824}}$$

### 1 / 148,972,824

Melody  Dec 3, 2014