Problem 67
In Exercises 67-76, one card is randomly selected from a deck of cards. Find the odds in favor of drawing a heart.
Problem 70
Performing at a concert are eight rock bands and eight jazz groups. How many ways can the program be arranged if the first, third, and eighth performers are jazz groups?
Problem 71
Write a word problem that can be solved by evaluating \({ }_{7} C_{3}\).
Problem 82
Of the 38 plays attributed to Shakespeare, 18 are comedies, 10 are tragedies, and 10 are histories. In Exercises 79-86, one play is randomly selected from Shakespeare's 38 plays. Find the odds against selecting a comedy.
Problem 84
Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. I found the probability of getting rain at least once in ten days by calculating the probability that none of the days have rain and subtracting this probability from \(1 .\)
Problem 86
Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. If the probability of being hospitalized during a year is \(0.1\), find the probability that no one in a family of five will be hospitalized in a year.
Problem 95
Explain how to find or probabilities with mutually exclusive events. Give an example.
Problem 96
Give an example of two events that are not mutually exclusive.
Problem 97
Explain how to find or probabilities with events that are not mutually exclusive. Give an example.
Problem 98
Explain how to find the odds in favor of an event if you know the probability that the event will occur.