Geometry | Unit 8 | Lesson 9: Using Tables for Conditional Probability | Practice Problems

A tour company makes trips to see dolphins in the morning and in the afternoon. The two-way table summarizes whether or not customers saw dolphins on a total of 40 different trips. If a trip is selected at random, what is the probability that customers did not see dolphins on that trip?

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If a trip is selected at random, what is the probability that customers did not see dolphins under the condition that the trip was in the morning?

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Are the events of seeing dolphins and the time of the trip (morning or afternoon) dependent or independent events? Explain your reasoning.

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Noah is unsure whether the coin and number cube he has are fair. He flips the coin then rolls the number cube and records the result. He does this a total of 50 times. The results are summarized in the table. Create a two-way table that displays the probability for each outcome based on Noah’s tests.

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If one of Noah’s 50 results is selected at random, what is the probability that the coin was heads?

If one of Noah’s 50 results is selected at random, what is the probability that the number cube was 5?

A student surveys 30 people as part of a project for a statistics class. Here are the survey questions. The results of the survey are summarized in the two-way table. What is the probability that a person from the survey chosen at random is right-handed under the condition that they are right-eye dominant?

Priya flips a fair coin and then rolls a standard number cube. What is the probability that she rolled a 3 under the condition that she flipped heads?

Andre flips one fair coin and then flips another fair coin. What is the probability that he gets heads on both coins?

What is the probability that he gets heads on the second coin under the condition that the first flip is heads?