1) Let and be events. Assume , and . Find .
2) A pair of dice is tossed. What is the probability of getting two twos?
A coin is tossed and then a die is rolled.
3) How many outcomes are there?
4) Write down a valid sample space for this experiment.
5) What is the probability of having thrown a tails and an odd number?
6) Let and be independent events. Assume and . Find .
7) A coin is tossed 9 times. What is the probability of obtaining at least one tail?
8) If and , find .
9) A sample of 5 balls is to be drawn from a box containing 5 red and 7 white balls. Find the probability that the sample contains 2 red and 3 white balls.
10) If and are independent events, and if and , find .
11) If and find .
12) Each person in a class of 24 students is randomly assigned a number between 1 and 20. If six students are selected from the class, what is the probability that they have different numbers?.
A preference pole is taken by questioning voters at random in the Philadelphia.and Pittsburgh areas. The probability that a random voter is from the Pittsburgh area is .4 while from the Philadelphia area is .6. It was found that the probability that a random voter from Pittsburgh was a Democrat was .3, and a Republican was .7. It was also found that the probability that a random voter from Philadelphia was a Democrat was .6 and a Republican was .4.
13) Represent this data as a tree diagram.
14)Find the probability that a random voter is both a Republican and from Pittsburgh.
15)Find the probability that a random voter is a Republican.
17)Find the probability that a random Republican voter is
from Pittsburgh.