Probability Compound Events

Front

What is the definition of independent events in probability?

Back

Independent events are events where the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the definition of dependent events in probability?

Back

Dependent events are events where the occurrence of one event affects the probability of the other event occurring.

Front

What is the probability of an event that is certain to happen?

Back

The probability of an event that is certain to happen is 1.

Front

What is the probability of an event that is impossible to happen?

Back

The probability of an event that is impossible to happen is 0.

Front

How do you calculate the probability of two independent events occurring together?

Back

To calculate the probability of two independent events occurring together, multiply their individual probabilities: P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of two dependent events occurring together?

Back

To calculate the probability of two dependent events occurring together, multiply the probability of the first event by the conditional probability of the second event given the first: P(A and B) = P(A) * P(B|A).

Front

What is the probability of drawing a marble from a bag containing 5 yellow, 4 green, and 2 blue marbles, if one marble is drawn and replaced?

Back

The probability of drawing any specific color marble is the number of that color marbles divided by the total number of marbles.

Front

What is the total number of marbles in a bag containing 5 yellow, 4 green, and 2 blue marbles?

Back

The total number of marbles is 5 + 4 + 2 = 11.

Front

What is the probability of spinning a spinner that has equal sections for red, blue, and green?

Back

If the spinner has equal sections, the probability of landing on any specific color is 1 divided by the number of colors.

Front

What is the probability of flipping a fair coin and getting heads?

Back

The probability of flipping a fair coin and getting heads is 1/2.