Understanding Compound Probability

What defines two events as independent?

• Both events must involve the same participants.

• The outcome of the second event is influenced by the first event.

• The outcome of the second event is not influenced by the first event.

• Both events must occur simultaneously.

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What does it mean when two events are dependent?

• Both events are unrelated.

• Both events must occur at the same time.

• The outcome of one event is determined by the outcome of another.

• The outcome of one event does not affect the other.

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What is the probability of choosing a colorful pair of shoes from Caitlyn's closet?

• 4/10

• 3/10

• 2/5

• 1/2

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How do you calculate the probability of a simple event?

• Favorable outcomes divided by possible outcomes.

• Product of all outcomes.

• Possible outcomes divided by favorable outcomes.

• Sum of all outcomes.

In the skittles example, what is the probability of drawing a green skittle twice, with replacement?

• 3/25

• 2/25

• 1/20

• 1/25

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What is the probability of Lizeth selecting a black die from each bag?

• 5/15 * 3/9

• 5/15 * 2/15

• 6/15 * 2/9

• 5/15 * 2/9

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In the skittles example, what changes when an event is dependent?

• The color of the skittles changes.

• The total number of skittles remains the same.

• The total number of skittles decreases.

• The shape of the skittles changes.

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What is the significance of 'without replacement' in probability?

• It indicates that the events are dependent.

• It means the event cannot occur again.

• It indicates that the events are independent.

• It means the total number of outcomes increases.

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What is the probability of Mario selecting a fruit punch and then a cool blue Gatorade without replacement?

• 1/16 * 1/15

• 10/16 * 1/16

• 10/16 * 1/15

• 5/16 * 1/15

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How does not replacing an item affect the probability of subsequent events?

• It decreases the total number of outcomes, affecting the probability.

• It resets the probability to its original state.

• It increases the probability of repeating the event.

• It has no effect on the probability.

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