Independent and Dependent Probability

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 getting all tails when flipping a fair coin 3 times?

Back

1/8

Front

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

Back

Multiply the probabilities of each event: P(A and B) = P(A) * P(B).

Front

What is the probability of tossing Heads and spinning a Red on a coin and spinner?

Back

1/6

Front

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

Back

Multiply the probability of the first event by the conditional probability of the second event: P(A and B) = P(A) * P(B|A).

Front

What is the probability of spinning a red, an odd number, and a 3 in three spins of a spinner?

Back

1/72

Front

What is the formula for calculating the probability of selecting two items without replacement?

Back

P(A and B) = P(A) * P(B after A).

Front

In the context of probability, what does 'without replacement' mean?

Back

'Without replacement' means that once an item is selected, it is not put back into the pool of items for subsequent selections.

Front

What is the probability of Mrs. Smith choosing two apples from a bowl of 8 oranges and 8 apples?

Back

7/30