Question

The Florida lottery game Lotto is played by choosing six numbers from 1 to 53. If these numbers match the ones drawn by the lottery commission, you win the jackpot. The table below shows the probability of winning a $32,000,000 jackpot, along with the amounts and probabilities of other prizes. Assuming that the jackpot was not split among multiple winners, find the expectation for buying a $1 lottery ticket. Round to the nearest tenth of a cent. (A calculator is recommended.) cents

Match 6

$32,000,000 1 22,957,480

Match 5 $4573 141 11,478,740

Match 4 $68 3243 4,591,496

Match 3 $5 16,215 1,147,874

Match 6 | $32,000,000 | 1/ 22,957,480 |

Match 5 | $4573 | 141/ 11,478,740 |

Match 4 | $68 | 3243/ 4,591,496 |

Match 3 | $5 | 16,215/ 1,147,874 |

Answer #1

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