Geometry | Unit 8 | Lesson 10: Using Probability to Determine Whether Events Are Independent | Practice Problems

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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.

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The two-way table summarizes whether or not a cross country team had practice when it was raining and when it was not raining at the end of the school day. Table:

	cross country practice	no cross country practice
raining	6	2
not raining	12	1

When it was raining at the end of the school day, what is the probability that cross country practice was held? When it was not raining at the end of the school day, what is the probability that cross country practice was held? Are the events of “holding cross country practice” and “raining at the end of the school day” dependent or independent events? Explain your reasoning.

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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

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? What is the probability that Clare selects a card that has hearts on it? 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? Are the events of Diego and Clare randomly selecting a card dependent or independent? Explain your reasoning.

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A spinner is divided into 8 equal sections. 2 of them are bronze, 1 of them is silver, and 5 of them are gold. What is the probability that it lands on bronze? What is the probability that it lands on silver or gold? What is the probability that it lands on platinum?

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