PROBABILITY TEST 2

TEST 2 ON PROBABILITY (INTRODUCTION)MAXIMUM MARKS : 50 TIME ALLOWED : 1 ½ hours1)Find the probability of the arrangement of the letters of the word ‘APPLIANCE ‘ in which two P’s are together. (4 marks)2) Find the probability of the arrangement of the letters of the word ‘ARRANGEMENT’ in which 2 R’s are separated. (4 marks )3) Box 1 has 7 red balls and 5 black balls. Box 2 has 8 red balls and 4 black balls. One ball is chosen at random from box 1 and is dropped in box 2 without noticing the colour. Now, 2 balls are chosen from box 2. Find the probability that (i) these two balls are red (ii) out of these two balls one ball is red and other is black . (6 marks)4) Four digit numbers are formed using the digits 1,2,5,7,8 with repetition of digits. Find the probability that (i) the number is divisible by 4 (ii) the number is odd.( 6 marks )5) Four digit numbers are formed without repetition of digits using the digits 0,1,2,4,5. Find the probability that (i) the number is divisible by 5 (ii) the number is even. ( 6 marks )6) There are 5 Mathematics books, 6 chemistry books, 4 physics books which are to be arranged in a shelf. Find the probability that books of the same subject are to be together. (4 marks)7) A committee of 4 students is to be formed from a group of 6 boys and 4 girls. Find the probability that the committee has minimum of 2 boys. ( 4 marks )8) Two cards are chosen from a well shuffled pack of 52 playing cards and are put aside without noticing what they are. Now, one card is chosen from the remaining 50 cards. Find the probability that this card is a black king.( 4 marks )9) A and B play a game of tossing two coins simultaneously. The one getting two heads first is considered to be the winner. Find the probability of (i) B winning the game , (ii) A winning the game if B starts the game.( 4 marks )10) A box has 7 white balls and 5 black balls. Three balls are chosen one after the other with replacement. Find the probability that (i) all are white (ii) two are white and one is black. (4 marks)11) A box has 6 red balls and 4 blue balls. Two balls are chosen one after the other without replacement. Find the probability that (i) both are red (ii) one is red and the other is blue.( 4 marks )TEST GIVEN BY R. SANKARARAMANANSWERS CAN BE UPLOADED ON REQUESTBEST WISHES