Unit 5 Math 4 Probability

Front

What is dependent probability?

Back

Dependent probability refers to the probability of an event occurring based on the outcome of a previous event. For example, drawing a card from a deck and not replacing it affects the probability of subsequent draws.

Front

What is independent probability?

Back

Independent probability refers to the probability of an event occurring that is not affected by previous events. For example, flipping a coin does not affect the outcome of the next flip.

Front

How do you calculate expected value?

Back

Expected value (EV) is calculated by multiplying each possible outcome by its probability and summing all these products. EV = Σ (Outcome × Probability).

Front

What is the expected value of a coin flip where heads wins $4 and tails loses $3?

Back

$0.50

Front

What is the probability of an event?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible) and 1 (certain).

Front

What is a probability model?

Back

A probability model is a mathematical representation that describes the likelihood of different outcomes in a random experiment.

Front

What is the formula for calculating the expected value from a probability distribution?

Back

Expected Value (E) = Σ [x * P(x)], where x is the outcome and P(x) is the probability of that outcome.

Front

What does it mean if two events are independent?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the probability of drawing a red card after drawing a black card without replacement?

Back

The probability is dependent because the first draw affects the total number of cards and the composition of the deck.

Front

What is the expected value of a random variable with outcomes 50, 20, and 5 with probabilities 0.1, 0.3, and 0.6 respectively?

Back

14