The American Automobile Association AAA reports that of car

The American Automobile Association (AAA) reports that of car accidents, 49% occurred while the driver was eating or drinking. If 3 accidents are chosen at random, find the probability for the following. Please round the final answers to 2 or 3 decimal places.

Solution

a)

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    3      
p = the probability of a success =    0.49      
x = the number of successes =    0      
          
Thus, the probability is          
          
P (    0   ) =    0.132651 [ANSWER]