1) If I am taking a 10 item multiple choice test that has 4 alternative choices on each question and I must pick only one answer, and I am only guessing on the whole test, and if answering one question is independent of answering the others, find the probabilities of the following events. (show all your work..show how the problem is set up and show the final answer-use the binomial table.)

a) 8 or more correct =

b) 1 or more correct =

c) 5 correct =

d) 0 correct =

e) less than 3 are correct =

2) You are playing the one-armed bandit (slot machine).There are three wheels, and on each wheel there is a picture of a lemon, a plum, an apple, an orange, a pear, cherries, and a banana (seven different pictures).You insert your silver dollar and pull down the lever.What is the probability that

a) Three oranges will appear?

b)At least two oranges will appear

3) You want to know whether a friend's child can tell the difference between a circle and a square block. You have 2circle blocks and 2 square blocks. You line the blocks up randomly and ask the child to pick out the circle block. After a block is picked you replace it and randomize the order of the blocks once more. You repeat this procedure of asking the child to pick out the circle block 10 times. If he can't tell the difference between a circle and a square block what is the probability he will pick a circle block at least 8 times?