A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on the two dice is less than 8? (Round your answer to three decimal places.)

Answer 1

IF TWO DICE ARE ROLLED, DOUBLES WOULD BE 1,1 2,2 3,3 4,4 5,5 6,6

IF THE SUM OF THE TWO DICE IS LESS THAN 8, THAT WOULD ONLY INCLUDE 1,1 2,2 AND 3,3

THERE ARE A TOTAL OF 36 DIFFERENT COMBINATIONS OF 2 DICE 1,1 1,2 1,3 ETC

THERE IS ONLY ONE WAY TO GET EACH OF THE THREE DOUBLES

SO THERE ARE THREE POSSIBLE "SUCCESSES" OUT OF 36 POSSIBLE OUTCOMES

THEREFORE THE PROBABILITY IS 3/36 OR 1/12

IN DECIMAL FORM, THAT IS 0.0833