Question

(FP.11) From the set {1, 2, ..., 15} four numbers have been randomly chosen. Find the probability of the events that (a) The smallest chosen number is 6. (b) The smallest chosen number is 6 and the largest is 14. (c) All the chosen numbers are odd.

Answer 1

set of 1, 2, 3, 4, ..... 15 ncsl = 15 . u numbers have been randomly chosen number of ways .z greater than from Smallest number is 6 It means other theree numbers are - That is select three humblr imber 17,819, 10, 11, 12, 13, 14, is} from a number of ways = aq - acz 84 probability = Tsu 1365 b Probability = 0.06151 smallest chosen number is 6 and largest is 14 • Two numbers are 6 and lu remaining two can be from $7,8,9, 10, 11, 12, 13 - 7 ways probability to - . 7 t = 0.0154 =10.01541 15 = 3 TO All chosen numbers are odd - {1, 3, 5, 7, 9, 11, 13, IS number of ways a su - yoT5cu Suu 70 - (0.0513)