Question 4 - Sample Space - Chapter 14 Class 11 Probability

Transcript

Example 4 A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail we throw a die. Describe the sample space of this experiment. The results on tossing coin are heads and tails Let heads be denoted by H & tails by T Also, 3 blue & 4 white balls be denoted by B1, B2, B3 and W1, W2, W3 and W4 Results of die are 1, 2, 3, 4, 5, 6 Draw ball (Blue or white) Throw die (1, 2, 3, 4, 5, 6) Possible outcomes When head come & drawing a ball {HB1, HB2, HB3, HW1, HW2, HW3, HW4}. Possible outcomes when tail come & throw a die {T1, T2, T3, T4, T5, T6} Total sample space associated with experiment S = {█("HB1, HB2, HB3, " @"HW1, HW2,HW3, HW4," @"T1,T2, T3, T4, T5, T6" )}