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Probability Review From Practice Test Mistakes
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Standard deck
52 cards
Kings in a standard deck
4
Red cards in a standard deck
26
Probability of one king
4/52 equals = 1/13
Probability of one red card
26/52 = 1/2
Card probability formula
Favorable outcomes / total outcomes
Probability model
Lists each value of X with its probability
Discrete random variable
Counts outcomes
Until first success
Count failures before success
Success on first try
Success probability
Success on second try
Failure x success
Success on third try
Failure x failure x success
Four equal spinner sections
Success probability = 1/4
Not the desired section on four equal spinner
3/4
X = 1 on a spinner
A on first spin
X = 2 on a spinner
Not A then A
X = 3 on a spinner
Not A, not A then,A
Independent events
Multiply probabilities
Question asks until first success
Write a probability model
Common trap with probability models
Multiply failures before the first success
Memory trick
Failures first success last