In a Game of Roulette, Jorge Places 170 Bets of $1

Multiple Choice

In a game of roulette, Jorge places 170 bets of $1 each on the number 3. A win pays off with odds 35:1 and on any one spin there is a 1/38 probability that 3 will be the winning number. Among the 170 bets, what is the minimum number of wins needed for Jorge to make a profit? Estimate the probability that Jorge will make a profit.

A) 6; 0.3121
B) 6; 0.2327
C) 5; 0.496
D) 5: 0.4013