Probability
1. Flipping two coins results in one landing on heads and one landing on tails. 2. The captain of the football team is selected and then the co-captain is selected. 3. You draw a joker from the deck of cards, replace it, and then draw an ace. 4. You draw a queen from the deck of cards, replace it, and then draw a 10. 5. A coin is flipped and a number cube is rolled.
1. Independent 2. Dependent 3. Dependent 4. Independent 5. Independent
•Independent probability is when the outcome of one event ___ ___ impact the outcome of the second event, the events are called ___. •Independent probability can be determined by multiplying the probability of each event happening, or P(A and B) = ___•___.
Does not, independent, P(A) • P(B)
A coin landing on heads when it is flipped.
Equally likely
Getting a ticket if you are speeding.
Equally likely
• Simple probability is the ratio(___) of ___ outcomes(___) to the ___ number of outcomes. (___) Ex: P(A)=
Fraction, successful, wanted, total, possibilities Ex: A/Total outcomes
Water boiling at 75*
Impossible
•In order to obtain the probability of various events, a simulation is often conducted. It allows us to represent the ___ of a real-life event occurring by using an experiment with ___ ___. •This method is used by researchers when it is difficult to collect experimental data or when the theoretical probability is unknown. •Ex: _______________________________.
Likelihood, similar possibilities, tossing a coin, rolling a number cube, using a deck of cards, random # generators
Burning your dinner if you cook it too long.
Likely
Probability is the ___of an event happening and is expressed as a number between ___ and ___.
Likelyhood, 0, 1
• The probability of the event ___ occurring is the complement. • The probability of the event and its complement have a sum of ___. Ex: P'(A)=
NOT, 1, Not A/Total outcomes
•The sample space describes all of the possible ___ (___) of an event. •Sample space can be ___ with lists, tables, or tree diagrams to determine the probability of ___ or ___ events.
Outcomes, possibilities, displayed, simple, compound
Independent Probability:
P(A and B) = P(A) • P(B)
Dependent Probability:
P(A and B) = P(B given A)
•The ___ of an event happening based on the possible outcomes. • "What ___ happen?"
Probability, should
•Experimental probability is the ___ of the number of ___ an event occurs to the ___ number of trials. • "What ___ happen?"
Ratio, times, total, does
•Relative frequency is the ___ number of successful attempts divided by the total number of trials. It can be used to make ___. •As the number of trials increases, the relative frequency of an event will approach the ___ probability.
Total, predictions, theoretical
Scoring from a safety in a football game.
Unlikely
Snowing when it's 40*F outside.
Unlikely to impossible