Independence Probability

Lesson 10 Using Probability to Determine Independence

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Multiple Choice

One of these games is selected at random. For each question, Event A is “game played when warmed up” and Event B is “more shots made than missed.” Use the data to estimate the probabilities.

Use P(A | B)=P(A) and P(A and B)=P(A)P(B) to determine if the two events are dependent or independent.

• Independent

• Dependent

Open Ended

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Multiple Choice

For counties in northwestern Iowa, is having an average yield of more than 200 bushels per acre and the year being 2016 or 2017 dependent or independent events?

• Independent

• Dependent

Multiple Choice

Tyler finds a news article that says, “The price of gasoline has increased to more than $3.00 per gallon and the pay for truck drivers is less than it was last year at this time.” Are the events “gasoline costing more than $3.00 per gallon” and “truck driver pay” dependent or independent events? Explain your reasoning.

• Independent

• Dependent

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Multiple Choice

Are the events of “holding cross country practice” and “raining at the end of the school day” dependent or independent events? Explain your reasoning.

• Independent

• Dependent

Multiple Choice

Kiran flips a fair coin. If it lands on heads, Kiran will toss the coin again. If it lands on tails, Kiran will roll a standard number cube. What is the probability that Kiran gets heads on his second toss under the condition that he got heads on his first toss?

• 0

• 0.25

• 0.5

• 1

Multiple Choice

Diego randomly selects a card from a standard deck of cards. He places it on his desk and then Clare randomly selects a card from the remaining cards in the same deck.

What is the probability that Clare selects a card that has hearts on it?

Write your answer as a decimal rounded to two decimal places.

• $$\frac{12}{51}$$
  

• $$\frac{13}{51}$$
  

• $$\frac{12}{51}\ or\ \frac{13}{51}\ \ It\ depends.\$$

• 13/52

Multiple Choice

Diego randomly selects a card from a standard deck of cards. He places it on his desk and then Clare randomly selects a card from the remaining cards in the same deck.

Are the events of Diego and Clare randomly selecting a card dependent or independent?  Explain your reasoning.

• Independent

• Dependent