math
posted by andre
When Mr. Lucky starts betting, he has 3 dollars. On any bet, he 7. wins with probability 1/3 and loses with probability 2/3. If he wins
a bet, the total amount of money he has triples. If he loses a bet, he
loses 2/3 of the total amount of money he has. Mr. Lucky’s objective
is to walk away with 27 dollars in his pocket, and he can keep playing as long as he has at least 3 dollars. What is the probability that he reaches his objective? Express your answer as a common fraction.

Steve
1/10 to end up with exactly 27
6/10 to end up with at least 27
4/10 to lose
Respond to this Question
Similar Questions

Math (expected value)
A roulette wheel in Las Vegas has 18 red slots and 18 black slots numbered alternately with the numbers 1 through 36. Two green slots are numbered 0 and 00. The winning number is determined by the slot into which a single marble rolls. … 
Math
How do you solve: n is 2 given that it is even The directions say "let n be a randomly selected integer from 120. Find the indicated probability" 1. A tennis player wins a math 55% of the time when she serves first and 47% of the … 
math corrections
30. The probability that Rob wins is 2/7 the probability that Rob loses,what is the probability that Rob loses? 
Stats
A roulette player makes a $10 wager that the ball will land on a specific number (this is known asa straight bet). The probability that the player wins this bet is 1/38 (and so the probability that he loses 
Probability
Can someone help me with this question? In the game of craps, a player loses a pass line bet if a sum of 2, 3, or 12 is obtained on the first roll. In another version of the game called crapless craps, the player does not lose by rolling 
Statistics
A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. Two slots are green, 18 of the others are red, and 18 are black. a) What is the probability of winning with a bet on red in a single play of roulette? 
mathsteve
When Mr. Lucky starts betting, he has 3 dollars. On any bet, he wins with probability 1/3 and loses with probability 2/3. If he wins a bet, the total amount of money he has triples. If he loses a bet, he loses 2/3 of the total amount … 
mathsteve
When Mr. Lucky starts betting, he has 3 dollars. On any bet, he wins with probability 1/3 and loses with probability 2/3. If he wins a bet, the total amount of money he has triples. If he loses a bet, he loses 2/3 of the total amount … 
math
The probability that John wins a game is 4/5, and, independently, the probability that Meghan wins is 9/11. What is the probability that Meghan wins and John loses the game? 
AP Statistics
The game ChuckALuck is played as follows: A player bets $M on an integer chosen from 16 and then rolls three dice. If the number appears on exactly on die, then the player wins the amount bet. The player wins twice the amount bet …