A "pick 2" lottery game involves drawing 2 numbered balls from separate bins each containing balls labeled
from 0 to 9. so there are 100 possible selections in total: 00, 01, 02, ..., 98, 99.
players can choose to play a "straight" bet, where the player wins if they choose both digits in the correct
order. since there are 100 possible selections, the probability a player wins a straight bet is 1/100. the
lottery pays $50 on a successful $1 straight bet, so a player's net gain if they win this bet is $49.
let x represent a player's net gain on a $1 straight bet.
calculate the expected net gain e(x).
hint: the expected net gain can be negative.
e(x) =
dollars
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