Lessons 5.3 and 5.4 Homework

In a large apartment complex, 40% of residents read USA Today, 25% read the New York Times, and 5% read both papers. Draw a Venn diagram to display the sample space of this chance process using the events A: reads USA Today and B: reads New York Times.

In an apartment complex of 100 people, 40 of the residents read USA Today, 25 read the New York Times and 9 read both. Given that a resident reads USA Today, what is the probability that they also read the New York Times? Enter your answer as a fraction.

Mathematical Equivalence

ON

A survey of all students at a large high school revealed that, in the last month, 38% of them had dined at Taco Bell, 16% had dined at Chipotle, and 9% had dined at both. Suppose we select a student at random. What is the probability that the student has dined at Taco Bell or Chipotle in the last month? Enter your answer as a percent without the percent symbol.

Mathematical Equivalence

ON

Explain what it means for two events to be independent?

Answer explanation

Two events are independent if knowing whether or not one event has occurred does not change the probability that another event will happen.

Suppose you roll two fair, 6-sided dice - one red and one blue. Are the events "sum is 7" and "blue die shows a 4" independent? Upload an image of your work as proof.

Answer explanation

The probability that the sum is 7 is the same when the blue die shows a 4, and when it doesn't show a 4. Because the probabilities are equal, the events are independent.