AFDA CW 1 - Independent and Dependent Probability

Front

What are mutually exclusive events?

Back

Events that cannot happen at the same time.

Front

What is the definition of independent events in probability?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Front

What is the definition of dependent events in probability?

Back

Two events are dependent if the occurrence of one event affects the occurrence of the other.

Front

If you roll one die, what is the probability of getting an odd number?

Back

There are 3 odd numbers (1, 3, 5) out of 6 possible outcomes, so the probability is 3/6 or 1/2.

Front

If you roll one die, what is the probability of getting a 4?

Back

There is 1 outcome (4) out of 6 possible outcomes, so the probability is 1/6.

Front

Are the events of rolling a 4 and rolling an odd number mutually exclusive?

Back

Yes, they are mutually exclusive because they cannot happen at the same time.

Front

What is the probability of selecting a green marble from a bag containing 9 green, 5 yellow, and 6 red marbles?

Back

The probability is 9/(9+5+6) = 9/20.

Front

What is the probability of selecting a green and a red marble from a bag?

Back

Multiply the probabilities of selecting each marble: (9/20) * (6/20) = 54/400 or 27/200.

Front

How do you calculate the total number of outcomes when making multiple choices?

Back

Multiply the number of choices for each decision.

Front

If you have 2 cake flavors, 2 types of icing, and 3 decorations, how many possible cake outcomes are there?

Back

2 (flavors) * 2 (icings) * 3 (decorations) = 12 outcomes.