PROBABILITY TEST 3

PROBABILITY TEST 3Maximum marks : 50 Time allowed : 1 ½ hours1) Whenever 5 coins are tossed, write the sample space.( 2 marks )2) A box has 40 sheets numbered from 1 to 40. Four sheets are chosen at random and are arranged in descending order. Find the probability that (i) 20 is the first number (ii) 30 is the second number (iii) 35 is the last number.( 4 marks )3) Two dice are thrown. When the sum of the numbers is < 6, a coin is tossed. Otherwise, a die is thrown again. Write the sample space. Also, find the probability of having a head in the coin. ( 4 marks )4) Two cards from a pack of 52 playing cards are lost. Now, one card is chosen at random from the remaining 50 cards. Find the probability that the card now chosen is (i) a black king (ii) a queen.(6 marks)5) A box has 100 sheets numbered from 1 to 100. Two sheets are chosen. Find the probability that (i) both the numbers are divisible by 3 (ii) both the numbers are divisible by 5 (iii) both the numbers are divisible by 5 but not by 10.( 6 marks )6) Three persons A , B , C solve a problem independently. The probabilities of them solving the problem are 1/2, 1/3, 1/4 respectively. Find the probability that (i) only one of them solves the problem (ii)_ none of them solves the problem ( iii) two of them solve the problem.( 6 marks )7) A box has certain number of sheets numbered from 1 to 100 except multiples of 10. Now, two cards are chosen at random. Find the probability that ( i ) both the numbers are even (ii) both are odd (iii) one is even and other is odd.( 6 marks )8) Find the probability of the arrangement of the letters of the word ‘APPROXIMATION ‘ in which (i) the arrangement starts with A and ends with N (ii) 2 P’s are either side each (iii) R , X occupy the end places individually.( 6 marks )9) 5 men and 6 children are seated in a round table. Find the probability that (i) all children are together (ii) all men are together (iii) no two men are together (iv) no two children are together.(6 marks )10) A box has 7 red balls, 6 blue balls, 7 white balls. Three balls are chosen at random. Find the probability that (i) all are red (ii) there is one ball in each colour (iii) two are blue and one is white.(4marks)TEST GIVEN BY R. SANKARARAMANANSWERS CAN BE UPLOADED ON REQUEST