Probability: Independent Events Review

Front

What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1.

Front

What are independent events in probability?

Back

Independent events are events where the outcome of one event does not affect the outcome of another.

Front

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

Back

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

Front

If a tile is drawn and replaced, what type of event is this?

Back

This is an independent event because the replacement means the first event does not affect the second.

Front

What is the probability of rolling an even number on a number cube?

Back

There are 3 even numbers (2, 4, 6) on a cube, so P(even) = 3/6 = 1/2.

Front

What is the probability of rolling an odd number on a number cube?

Back

There are 3 odd numbers (1, 3, 5) on a cube, so P(odd) = 3/6 = 1/2.

Front

What is the probability of drawing a king from a standard deck of cards?

Back

There are 4 kings in a deck of 52 cards, so P(king) = 4/52 = 1/13.

Front

What is the probability of drawing a heart from a standard deck of cards?

Back

There are 13 hearts in a deck of 52 cards, so P(heart) = 13/52 = 1/4.

Front

How do you find the probability of drawing two marbles of different colors with replacement?

Back

Calculate the probability of each event separately and multiply: P(first) * P(second).

Front

What is the total number of marbles in a bag with 3 red, 4 gray, 6 white, and 5 black marbles?

Back

Total = 3 + 4 + 6 + 5 = 18 marbles.