1) How would you label these events?
The results of an Olympic race and the lottery numbers from the same day.
mutually exclusive
idependant
neither independent nor mutually exclusive
2) A cable TV service has as deal that for an extra $30 per month a customer can select 6 channels form a list of 20 premium channels to have access to. How many ways can a customer make this selection?
How would you label these events?
Choosing at random from products at a grocery store a food that is fat free and has butter listed as a main ingredient.
independant
mutually exclusive
neither independent not mutually exclusive
3) On a given day, the probability that the stock market will increase is 0.4 and the probability that a college class will have perfect attendance is 0.3. What is the probability that the stock market increases and the class has perfect attendance?
4) The probability that an outdoor theme park will be filled to capacity (having the maximum number of guests the park can hold) is 0.6 and the probability of a heavy rain storm is 0.1. What is the probability of the theme park being filled to capacity and a heavy rain storm?
5) How would you label these events?
From a pool of people of all ages, a dating site matches a 30 year old man with a 28 year old woman.
independant
mutually exclusive
neither independent nor mutually exclusive
6) A bakery has 11 varieties of donuts available, and a customer buys half a dozen donuts with each one being of a different variety. How many ways can this be done?
7) From a population of houses that are for sale in an area, 30% of the homes are "fixer-uppers" (homes in need of many repairs) and 10% of homes are over 50 years old. What is the probability that a randomly selected home will be a "fixer-upper" and be over 50 years old?
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