Mathematics Higher Level Robert Joinson

©Sumbooks2002Higher Level77. Probability 11. A bag contains 4 red discs and 5 green discs. A disc is selected at random from the bag, itscolour noted and then replaced. This is carried out 3 times. Calculate the probability ofgetting:a) a green disc on the first drawb) a green disc followed by a red discc) three green discsd) a green disc and two red discs in any order.2. A game is played using a four sidedspinner and a three sided spinner. The twospinners are spun together and their twovalues added together in the way shown inthe diagram.32Calculate the probability of getting an outcome of a) 3 b) 5 c) not 6214313+2 = 53. The probability that a parcel will be delivered the next day is 0.4. Two parcels are sent,independently of each other, on the same day. What is the probability that:a) both will be delivered the next day?b) only one will be delivered the next day?c) neither will be delivered the next day?4. A biased dice has the numbers 1 to 6 on its faces. The probability of throwing a 1 is 0.1 andthe probability of throwing a 2 is also 0.1. The probability of throwing each of theremaining 4 numbers is 0.2. Calculate the probability of throwing:a) a 1 followed by a 3b) a 2 followed by a 4c) two 2’s.5. The probability that the post arrives before 8.00 am is 0.2 and the probability that the dailynewspaper arrives before 8.00 am is 0.7. Calculate the probability that:a) both newspaper and post arrive before 8.00b) the post arrives before 8.00 but the newspaper arrives after 8.00c) both arrive after 8.00.d) one or both of them don’t arrive before 8.00.6. A fair dice having the numbers 1 to 6 on it is rolled and its value noted. It is rolled a secondtime and its value added to the first one. For example, if 3 is rolled the first time and 2 thesecond time, the total after 2 rolls will be 5.a) What is the probability that the score will be greater than 12?b) What is the probability of scoring between 6 and 9 inclusive with two throws of the dice?