Exploring Independent and Dependent Probability Events

This tutorial explains independent and dependent events in probability. Independent events do not affect each other's outcomes, while dependent events do. Examples include coin flips for independent events and raffle drawings for dependent events. The tutorial covers calculating probabilities for both types, including conditional probability for dependent events. It concludes with a comparison of probabilities when drawing cards with and without replacement.

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

• 1/2

• 1/6

• 1/4

• 1/3

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CCSS.7.SP.C.7A

What is the effect of one independent event on another?

• Increases the probability

• Decreases the probability

• No effect

• Varies

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CCSS.HSS.CP.A.5

If 500 people enter a raffle, what is the chance of winning the third prize initially?

• 1/600

• 1/400

• 1/500

• 1/300

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CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

After the third prize is awarded in a raffle, what is the chance of winning the second prize?

• 1/499

• 1/498

• 1/500

• 1/497

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CCSS.HSS.CP.B.9

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

• Add their probabilities

• Subtract their probabilities

• Multiply their probabilities

• Divide their probabilities

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

What is the probability of flipping a coin and drawing a face card from a deck?

• 0.115

• 0.125

• 0.105

• 0.095

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CCSS.HSS.CP.B.7

What is the probability of drawing two aces consecutively from a deck?

• 0.007

• 0.0045

• 0.005

• 0.006

What is the probability of drawing three aces consecutively without replacement?

• 0.00018

• 0.00028

• 0.00008

• 0.00038

What changes in probability when a card is replaced after drawing in a deck?

• Increases

• Decreases

• Stays the same

• Becomes zero

How does the probability of dependent events compare to independent events when drawing cards?

• Same

• Lower

• Higher

• Cannot be determined

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CCSS.HSS.CP.A.3