P(E)  =  total # outcomes 
By part (a), the tiotal number of outcomes is 1,440. To calculate the number of favorable outcomes, we use
Step1:  Choose the matching pair numbers on the dice  6 possible outcomes 
Step2:  Choose heads for the coin toss.  1 possible outcome 
Step3:  Choose the 2 lime bears and one nonlime one  C(2,2) C(4,1) = 14 = 4 possible outcomes 
Thus, by the mulitplication principle, the total number of favorable outcomes is 6 1 4 = 24.
Putting this all together gives
P(E)  =  total # outcomes 

= 

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