Probability Questions

Question 1
I have a sock drawer with 14 blue socks and 16 black socks in it. If it is dark in my room and I randomly pull out socks, how many socks do I need to pull out to guarantee a matched pair?
Question 2
A weighted Die is used at a table in a Vegas Casino. The guest tossing the die is twice as likely to roll a 1 or a 6 as a 3, and is three times as likely to get a 3 as a 2, 4 or 5.
What is the probability of rolling a 1 or 5?
Question 3
A weighted Die is used at a table in a Vegas Casino. The guest tossing the die is twice as likely to roll a 1 or a 6 as a 3, and is three times as likely to get a 3 as a 2, 4 or 5.
What is the probability of rolling a 2, exactly three out of four rolls?
Question 4
The probability that a new tire will have a blowout in the first year is 0.10. If the four tires on a new car function independently of each other, what is the probability that at least one tire blows out in the first year?
Question 5
Suppose there are 60 students in a statistics class of which 24 are female. If three students are selected without replacement to work problems at the board, what is the probability that all three of the students chosen are female?
Question 6
If a fair coin is flipped twice with the outcome of each flip independent of each other, then the probability that at least one of the two flips results in a head is
Question 7
If a fair coin is flipped twice with the outcome of the first flip being heads, then the probability of the second flip being heads is
Question 8
If A and B are disjoint events with P(A) = .5 and P(B) = .3, then A intersect B is .15
Question 9
A computer manufacturer reports that 80% of the computers they sell have read-write CD drives, 15% have DVD drives, and 8% have both types of drives.
Determine the probability that a computer purchased from this retailer does not have a DVD drive.
Question 10
A computer manufacturer reports that 80% of the computers they sell have read-write CD drives, 15% have DVD drives, and 8% have both types of drives.
Determine the probability that a computer purchased from this retailer has neither a read-write CD nor a DVD drive.