Independence Probability

Lesson 10 Using Probability to Determine Independence

Fill in the Blanks

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.

Find P(A). Write your answer as a decimal rounded to two decimal places.

Fill in the Blanks

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.

Find P(B). Write your answer as a decimal rounded to two decimal places.

Fill in the Blanks

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.

Find P(A and B). Write your answer as a decimal rounded to two decimal places.

Fill in the Blanks

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.

Find P(A | B). Write your answer as a decimal rounded to two decimal places.

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

Fill in the Blanks

What is the probability that a county in northwestern Iowa selected at random had an average corn yield of more than 200 bushels per acre under the condition that it is 2016?

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

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

Fill in the Blanks

When it was raining at the end of the school day, what is the probability that cross country practice was held?

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

Fill in the Blanks

When it was not raining at the end of the school day, what is the probability that cross country practice was held?

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

Fill in the Blanks

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 Diego selects a card that has hearts on it?

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

Fill in the Blanks

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 Diego selects a card that has hearts on it and that Clare selects a card that has hearts on it? has hearts on it?

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

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