Nuan gives her friend Saúl a lottery ticket for his birthday. The ticket cost Nuan $
5
$5dollar sign, 5, and the back of the ticket says, "The overall odds of winning a prize with this ticket are
1
:
50
1:501, colon, 50, and the expected return for this ticket is
$
2.50
$2.50dollar sign, 2, point, 50."
Saúl says, "If
1
,
000
1,0001, comma, 000 people each bought one of these tickets, they'd have spent
$
5
,
000
$5,000dollar sign, 5, comma, 000 in total and only get back about
$
2
,
500
$2,500dollar sign, 2, comma, 500."
Nuan says, "If we looked at many of these tickets, the average return would be about
$
2.50
$2.50dollar sign, 2, point, 50 per ticket."
Whose statement is correct based on the expected value?