2. Probability Statistics

3. 1.A bag contains some sweets. There are 12 toffees, 9 mints and 3 truffles. One sweet is taken at random from the bag. Calculate a) p(truffle) b) p(toffee) c) p(not a mint) 2.The letters of the word M A T H E M A T I C S 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(S) c) p(H) d) p( not a vowel) 3. Two dice are thrown. List all the possible outcomes. Calculate a)p(sum of the two dice is 10) b) b) p(sum of two dice is <3)

4. 4. A pack of cards. One card is drawn at random. Calculate a) p(red) b) p(face card) c) p(not an ace) d) p(ten of spades) e) p( not a face card or a red card) 5.Three dice are thrown together. How many possible outcomes are there? Do not try to list them. What is p( sum of the dice is 7)? 6.Three different coins are thrown. List all the possible outcomes. Assume each coin has a head and a tail like our own coins. Calculate the probability that you will get one head.

5. 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, 4, and 6 as shown in the diagram. 21 3 2 6 4 Bag A Bag B A ball is drawn at random from each bag. List all the possible outcomes. Calculate the probability that the sum of the two balls is even. 8.Repeat the above experiment if bag A contains four balls numbered 1, 2, 3 and 5 and bag B contains balls numbered 2, 4 and 5. In this case calculate the p(sum of the balls) < 7.

6. 9. Consider the numbers 2,3,5,8,10,15,20,21,25,30,48,60 One of the numbers is selected at random. Calculate a) p(multiple of 4) b) p(factor of 60) c) p(prime)