Section P.4 – Binomial Probability
2. Six coins are tossed. Find the probability that exactly two of them will be heads.
8. When Eamonn is matched again Tim, Eamonn has a probability of winning of 0.2. If they play six times, what is the probability Tim will win at least five times?
17. The probability that an elm tree has Dutch elm disease is 1/5 17. The probability that an elm tree has Dutch elm disease is 1/5. If five trees are chosen at random, find the probability at that least four of them have Dutch elm disease.
20. A box contains 12 slips of paper on which are the names of five sophomores, four juniors, and three seniors. A slip of paper is drawn and then replaced. A slip of paper is again drawn at random and then replaced. This process is repeated until five slips of paper have been drawn. What is the probability that the names drawn were of two sophomores, two juniors and one senior?
22. Three dice are thrown simultaneously 22. Three dice are thrown simultaneously. Determine the probability that at least one four came up.
9. A die is repeatedly thrown 9. A die is repeatedly thrown. How many times must the die be thrown before the probability of throwing at least two threes is greater than 1/4.
23. If 8 coins are thrown onto a table, what is the probability that at least four will be heads, but no more than six will be heads?