SOLUTION: Mark has the choice of playing two different games. When he plays Poker, the odds in favour of him winning is 2:5. When he plays Blackjack, the odds against him winning is 7:3. Whi

Algebra ->  Probability-and-statistics -> SOLUTION: Mark has the choice of playing two different games. When he plays Poker, the odds in favour of him winning is 2:5. When he plays Blackjack, the odds against him winning is 7:3. Whi      Log On


   

Question 1161144: Mark has the choice of playing two different games. When he plays Poker, the odds in favour of him winning is 2:5. When he plays Blackjack, the odds against him winning is 7:3. Which game should he play if he wants the best chances of winning? Explain your answer.
Thank you in advance for any help:)
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52832) About Me  (Show Source):
Answer by greenestamps(13203) About Me  (Show Source):
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Poker:
Odds in favor of winning = 2:5
Probability of winning: 2/(5+2) = 2/7

Blackjack:
Odds against winning = 7:3
Odds in favor of winning = 3:7
Probability of winning: 3/(3+7) = 3/10

3/10 is greater than 2/7; he should play blackjack to have the better chance of winning.