Probability(2) Statistics

1.Consider the numbers 2,3,4,8,10,17,21,23. If one of these numbers is chosen at random find a) p(even) b) p( multiple of 3) c) p(prime) d) p(multiple of 5) 2.The letters of the word MATHEMATICS are all placed separately on cards and put in a bag. One card is chosen at random from the bag. Calculate a) p(M) b) p(not a vowel) c) p(S) M ATHEAMT C IS 3. Two dice are thrown. Calculate a) p(sum is 4) b) p(sum is less than 5)

4. A pack of cards. One card is drawn at random. Calculate a) p(a club) b) p(king) c) p(10 of clubs) d) p(red face card) 5.There are 3 separate bags. In the first bag written on separate cards are the letters B, C and P. In the second bag are the letters O and A. In the third bag are the letters T and N. A letter is chosen from each bag in turn (bag 1 first, then bag 2, then bag 3) and a three letter word is formed taking the letters in the order they were drawn. List all the possibilities you can get. What is the probability that an actual ‘English’ word will be formed. PBC OA NT

6. The table shows the pupils in a small country Primary School. Under 8 years oldOver 8 years old Boys4035 Girls2520 A pupil is to be chosen at random to represent the school in a local quiz. What is the probability that the pupil chosen is a) A boy b) A girl c) A girl over 8 years old d) A boy under 8 years old.

7. There are two bags A and B. Bag A contains the numbered balls 1, 2 and 3. Bag B contains the balls numbered 2, 3, 4, and 5 as shown in the diagram Bag A Bag B A ball is drawn at random from each bag. List all the possible outcomes. Calculate the probability that a) The sum of the two balls is 4. b) The sum of the two balls is less than 6.

8. The table shows the way in which pupils travel to school. BoysGirls Car2012 Bus304 Train58 Walk2516 If a pupil is chosen at random in the school what is the probability that The pupil is a boy. The pupil is a girl who travels to school by car. The pupil is a boy who walks to school.

9. The diagram shows the methods of transport available to businessmen who regularly travel between Aberdeen and London via Edinburgh. Edinburgh LondonAberdeen car bus train car fly For example a person can go by train from Aberdeen to Edinburgh followed by car from Edinburgh to London or he could go by bus from Aberdeen to Edinburgh followed by flying from Edinburgh to London. List all the different possible ways of getting from Aberdeen to London. What is the probability that a car was used during the journey?