LBRCE\S&H\P AND S\TUTORIAL\NVN\19102013 Tutorial – 1Lecture by: N.V.Nagendram--------------------------------------------------------------------------------------------------------------Problem 1:If the letters of the word “REGULATIONS” be arranged at random, what is thechance that there will be exactly 4 letters between R and E?Ans556Problem2:Find the probability that four S’s come consecutively in the word“MISSISSIPPI”?1654Problem 3:From 25 tickets, marked with the twenty first five numerals, one is drawn atrandom. Find the chance that (i) it is multiple of 5 or 7. (ii) It is multiple of 3 or 7. 52,25Problem 4: Among the digits 1, 2, 3, 4, 5 at first one is chosen and then a second selection ismadeamong the remainingfour digits. Assuming that all twenty possible outcomes haveequal probabilities, find the probabilities that an odd digit will be selected (i) the first time ,(ii) the second time and (iii) both the times.Problem 5:From tickets with the first 25 numerals, one is drawn at random. Find the chancethat (i) it is multiple of 5 or 7 (ii) it is multiple of 3 or 7.Problem 6:What is the probability of getting 9 cards of the same suit in one hand at a gameof bridge?Problem 7:(a) Two cards are drawn at random from a well shuffled pack of 52 cards. Showthat the chance of drawing two aces is 8.2211(b) From a pack of 52 cards, three are drawn at random. Find the chance that they are a king,a queen and a knave.(c) Four cards are drawn from a pack of cards. Find the probability that (i) all are diamond.(ii) there is one card of each suit and(iii) there are two spades and two hearts.Problem 8:A bag contains 3 red, 6 white and 7 blue balls. What is the probability that twoballs drawn are white and blue?Problem 9:What is the chance that a leap year selected at random will contain 53 Sundays?
LBRCE\S&H\P AND S\TUTORIAL\NVN\20102013 Tutorial – 2Lecture by: N.V.Nagendram--------------------------------------------------------------------------------------------------------------Problem 10:The sum of two non-negative quantities is equal to 2n. Find the chance thattheir product is not less than 43times their greatest product.[ans.1/2]Problem 11:Four persons are chosen at random from a group containing 3 men, 2 womenand 4 children. Show that the chance that exactly two of them will be children is Problem 12:Seven cards are drawn at random from a pack of 52 cards. What is theprobability that 4 will be red and 3 black?Problem 13:What is the probability of having a knave and queen when two cards are drawnfrom a pack of 52 cards?]