Probability
How is probability arranged
successes over total
How are odds arranged
successes over failures
what is the expected value for rolling a die
3.5
what is the probability if the probability is 2/3
2/3, if you got this wrong, you are really dumb
what are the odds if the probability is 2/3
2:1
what does expected value show
it shows how much you are expected to win/lose
what is the probability if the odds are 2:5
2/7
what are the odds if the odds are 2:3
2:3
does expected value show if the game is fair
yes
what is the probability of rolling 6, 7, 8, 9, or 10 on a single die
1/6
what are the odds of rolling less than a 6 or a six on a single die
1:0
if the expected value is -$4.50, is it a fair game
nooooooo
how do you find probability from odds
you put the successes on top and add the successes and failures for the total
you put successes in the from and subtract the successes from total to get the failures
how do you find the expected value
you multiply the winnings by the probability