Suppose Joyce bought 1 ticket of CA SupperLotto. The details of how to play and how to win is listed in the two tables below. Let's use X to denote the net gain from 1 ticket. Net gain is defined by Net Gain = Prize (if any) – Cost Find the expected value of X. How to Play Matched Numbers Prize Pick 5 different numbers between 1 and 47 5 + Mega $20,000,000 Pick 1 Mega numbers between 1 and 27 $28,677 Cost per ticket $1 4 + Mega |$1,433 $97 3 + Mega $57 $10 2 + Mega $11 1 + Mega $2 Mega $1

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What is the expected X value?

Suppose Joyce bought 1 ticket of CA SupperLotto. The details of how to play and how to win is
listed in the two tables below. Let's use X to denote the net gain from 1 ticket. Net gain is
defined by
Net Gain = Prize (if any) – Cost
Find the expected value of X.
How to Play
Matched Numbers Prize
Pick 5 different numbers between 1 and 47
5 + Mega
$20,000,000
Pick 1 Mega numbers between 1 and 27
$28,677
Cost per ticket
$1
4 + Mega
|$1,433
$97
3 + Mega
$57
$10
2 + Mega
$11
1 + Mega
$2
Mega
$1
Transcribed Image Text:Suppose Joyce bought 1 ticket of CA SupperLotto. The details of how to play and how to win is listed in the two tables below. Let's use X to denote the net gain from 1 ticket. Net gain is defined by Net Gain = Prize (if any) – Cost Find the expected value of X. How to Play Matched Numbers Prize Pick 5 different numbers between 1 and 47 5 + Mega $20,000,000 Pick 1 Mega numbers between 1 and 27 $28,677 Cost per ticket $1 4 + Mega |$1,433 $97 3 + Mega $57 $10 2 + Mega $11 1 + Mega $2 Mega $1
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