Independent and Dependent Events

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. For example, flipping a coin and rolling a die are independent events.

Front

What are dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another. For example, drawing cards from a deck without replacement is a dependent event.

Front

If a ball is drawn from a bag and replaced, what type of event is this?

Back

This is an independent event because replacing the ball means the total number of balls remains the same for the next draw.

Front

What is the probability of drawing a violet ball first and a pink ball next from a bag with replacement?

Back

The probability is 2/9.

Front

How do you calculate the total number of outfits possible with multiple clothing items?

Back

Multiply the number of options for each clothing item. For example, 5 jeans x 8 t-shirts x 2 shoes = 80 outfits.

Front

What is the total number of lunch combinations with 6 sandwiches, 3 chips, and 5 beverages?

Back

The total combinations are 6 x 3 x 5 = 90.

Front

What is the probability of selecting an 'N' first and a 'D' next from the letters in 'UNDERSTAND' with replacement?

Back

The probability is 1/25.

Front

What does it mean for two events to be mutually exclusive?

Back

Mutually exclusive events cannot occur at the same time. For example, rolling a 2 and rolling a 5 on a single die roll.

Front

How does replacement affect probability calculations?

Back

With replacement, the total number of outcomes remains constant, making events independent.

Front

What is the formula for calculating the probability of independent events?

Back

P(A and B) = P(A) x P(B) for independent events A and B.