AP Statistics Unit 4 Day 4: Successive Events

Flashcards covering key concepts from AP Statistics Unit 4 on successive independent events, focusing on definitions and examples related to probability calculations.

Successive Events

Events are successive if one happens after the other, meaning a repeated process doesn't change the outcome.

Independent Events

Events are independent if knowing the outcome of one event does not affect the probability of another event.

Probability of Successive Events

To find the probability of getting 'heads' 3 times in a row, calculate (0.5) x (0.5) x (0.5) = 0.125.

Free throw probability example

If Stephen Curry makes 90.6% of his free throws, the probability of him making 6 in a row is (0.906)^6.

At least one scenario

P(at least one) = 1 - P(none), used to calculate the probability of at least one success in a series of trials.

Sampling Without Replacement

Selecting people from a group where the selected individuals are not returned to the group for subsequent selections.

Random Selection Probability

In a scenario of selecting 3 women from a group of 6 men and 3 women, the probability of this happening is only 1.2%.

Simulation Process in Probability

A proposed simulation using rolling dice to represent random selection, where 'dice rolls' are seen as independent trials.

Simulation Limitations

Proposed simulation of rolling dice incorrectly conceptualizes, as it simulates sampling with replacement rather than without.

Tree Diagram

A visual representation used to calculate probabilities of different outcomes by illustrating branches for each event.