Independent & 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, tossing 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

How do you calculate the probability of 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

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

Back

To find the probability of two dependent events A and B occurring together, use: P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given A has occurred.

Front

What is the probability of tossing a coin and getting heads?

Back

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

Front

What is the probability of spinning a spinner divided into 6 equal sections and landing on red?

Back

If one section is red, the probability is 1/6.

Front

If a box contains 3 red and 2 blue marbles, what is the probability of picking a red marble?

Back

The probability of picking a red marble is 3/5.

Front

What is the probability of selecting an 'N' from the word 'UNDERSTAND' if the first letter is replaced?

Back

The probability is 3/10, since there are 3 'N's in the word.

Front

What is the probability of selecting a gumball then a lollipop from a bag of 6 lollipops and 4 gumballs without replacement?

Back

The probability is 4/15.

Front

If there are 6 red marbles, 5 green marbles, and 4 yellow marbles, what is the probability of picking 2 red marbles without replacement?

Back

The probability is 1/7.