assuming that the characteristics listed above are independent of each other, what is the probability that a randomly selected couple has all these characteristics? calculate the probability.

The following table gives the number of fatal work injuries categorized by cause from 2015 in a certain country. Cause Number of Fatalities Transportation accidents 2765 Assaults and violent acts 746 Contacts with objects and equipment 727 Falls 800 424 102 20 Exposure to harmful substances or environments Fires and explosions Other Find the probability that a randomly chosen work fatality had the following cause. Assaults and violent acts There were a total of fatal work injuries.

This problem involves students who have taken Calculus in high school. Assume that 35 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 75 percent plan to major in science. Of those who did not take calculus in high school, only 20 percent plan to major in science. What is the probability that a randomly selected student plans to major in science?

The probability that a song was rock is 0.5, the probability that it had over 1,000 plays is 0.4, and the probability that it was rock or had over 1,000 plays is 0.8. What is the probability that a randomly chosen song was rock and had over 1,000 plays?