Question

Two six-sided dice, one red and the other green, are repeatedly tossed. The result for each toss is determined as: 10×red number + green number. a) What is the outcome space for the experiment? b) Give specific examples of disjoint and independent events involving the two dice. c) For a given throw, what is the probability of getting an odd number?

Answer 1

a)

When we toss two dice, the outcomes are where first denote the red dice and second denote the green.

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

The outcome space for the experiment when result for each toss is determined as: 10×red number + green number

{11,12,13,14,15,16,21,22,23,24,25,26,31,32,33,34,35,36,

41,42,43,44,45,46,51,52,53,54,55,56,61,62,63,64,65,66}

b)

c) The number of odds comes in this sample is 18

the probability of getting an odd number is 18/36 = 1/2