Question

Kicker Another option in Club Keno is to play the "Kicker." This is an option that...

Kicker

Another option in Club Keno is to play the "Kicker." This is an option that doubles your bet, but you can get a random multiplier to your winnings. About 2/3 of the time there is no multiplier, though. Let's consider what the expected value is when playing the kicker while only betting on only one number.

Outcome Kicker Probability Net Value
1 Correct x1 0.15625 $0
1 Correct x2 0.046875 $2
1 Correct x3 0.0234375 $4
1 Correct x4 0.01171875 $6
1 Correct x5 0.00585938 $8
1 Correct x10 0.00585938 $18
0 Correct Any 0.75 -$2

What is the expected value when using the Kicker option and choosing one number? $ (Round to the nearest cent.)

If you had not played the kicker, the table would be:

Outcome Probability Net Value
1 Correct 0.25 $1
0 Correct 0.75 -$1

If you had not played the kicker, what would the expected value be? $ (Round to the nearest cent.)

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