basic statistic

IM311-Homework

Question 1 (12pts): A box contains 7 blue, 8 red and 6 green balls. You pick one ball randomly. What is the probability that the ball that you picked is neither green nor red?

Question 2 (15pts): A box contains 4 blue, 5 red and 6 white balls. We decide to take 3 balls randomly so what is the probability that all of them are red?

Question 3 (15pts):Assume that a coin is tossed and a die is rolled at the same time, calculate the probability that the coin shows a head and the die shows an even number?

Question 4 (14pts): A box contains 4 apples and 4 carrots. You eat 3 of them (by randomly choosing). What is the probability that you eat 2 apples and 1 carrot

Question 5(14pts): You toss 3 unbiased coins (fair coin). Please calculate the probability of getting at most 2 heads

Question 6 (20pts): 5 persons are selected from a group of 6 women and 7 men, to form a committee, where at least 3 men are selected in the committee. Please calculate in how many different ways it can be done?

Question 7 (10pts): In how many ways , the letters of the word 'SUPPORT' can be arranged? (the order is not important)