1. If event P (A) = 0.6, P (B) = 0.7 and P (B/A) = 0.3, find P (A and B)
2. A fair coin is tossed 4 times, what is the probability that all 4 tosses are heads?
3. A fair coin is tossed 3 times, what is the probability the sequence of rolls is 1, 2, 3?
4. A fair dice is rolled 3 times, what is the probability that all 3 rolls are 6,6,6?
5. US Senators, The following table displays 100 senators of the 112 Congress January 2011

Male Female Total

Democrats 39 12 51

Republican 42 5 47

Independent 2 0 2

Total 83 17 100

1. What is the probability that the senator is a woman?
2. What is the probability that the senator is a Republican?
3. What is the probability that the senator is a Republican and a woman?
4. If the senator is woman, what is the probability that she is a Republican?
5. The probability that a certain type of new car will need repairs in the first year is 0.3. A dealer sells 5 of such cars. What is the probability that "at least one" of them will require repairs in the first year?
6. Find the complement of the event?

A sample of 200 internet users is selected.

1. More than 200 of them use google as their primary search engine.
2. At least 200 of them use Google as their primary search engine.
3. Exactly 200 of them use Google as their primary search engine
4. Please show work and not just the answer.