4. An experiment consists of throwing two six-sided dice and observing the number of spots on the upper faces. Determine the probability that a ) the sum of the spots is 3 b ) each die shows four or more spots c ) the sum of the spots is not 3 d ) neither a one nor a six appear on each die e ) a pair of sixes appear f ) the sum of the spots is 7A very short quiz has one multiple choice question with five possible choices (a, b, c, d, e) and one true or false question. Assume you are taking the quiz but do not have any idea what the correct answer is to either question, but you mark an answer anyway. a ) What is the probability that you have given the correct answer to both questions? b ) What is the probability that only one of the two answers is correct? c ) What is the probability that neither answer is correct