Francisco is at the arcade and can buy a token for $\$2$ that gives him the choice of playing either Smack the Mole or Motorcycle Chasers.
**Smack the Mole:** He plays $3$ rounds, and for each round he has a $30\%$ chance of smacking the mole. If he smacks the mole in all $3$ rounds, he will win a stuffed bear worth $\$50$.
**Motorcycle Chasers:** He will participate in $4$ races, and for each race he has an $80\%$ chance of winning the race. If he wins all $4$ races, he will win a replica motorcycle worth $\$70$.
**What is Francisco's expected value from playing Smack the Mole? Round your answer to the nearest cent. $\$$[[☃ input-number 1]]**
**What is Francisco's expected value from playing Motorcycle Chasers? Round your answer to the nearest cent. $\$$[[☃ input-number 2]]**
Francisco has the option to purchase up to $20$ tokens, and he is trying to decide how to spend them.
**If he wants to maximize his expected winnings, what should he do?**
[[☃ radio 1]]