# maths probability

posted by
**adiba**
.

In one version of the game Keno the house has a pot containing 80 balls numbered 1 through 80,.the house then selects 20 of the 80 numbers at random .

The house randomly selects 20 numbers from the counting numbers 1-80 .In the variation called 6-spot keno, the player pays 60 cents for his ticket and marks 6 numbers of his choice .If the 20 numbers selected by the nouse countain at least 3 of those chosen by the player, he gets a payoff according to this scheme.

3 of the players "s numbers among the 20 ----- $0.35

4 of the player's numbers among the 20 ------ $2.00

5 of the players numbers among the 20 ------ $60.00

6 of the player"s numbers among the 20 ------ 1250.00

Find the players expected net winnings in this game

Pleaeease show me the work