Independence Probability

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.

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?

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.

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

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?

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.

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.