Two 6-sided dice are rolled . What is the probability that the sum of the faces showing up is less than 5 ?

Options

A. `(1)/(12)`
B. `1/6`
C. `(7)/(11)`
D. `(7)/(10)`

Answer

B

Explanation

There are 36 possible outcomes when two dice are rolled. The possible rolls can be represented by ordered pairs, where the first entry is the outcome of one die and the second is the outcome of the order. Thus , the 36 pairs are (1 and 1) , (1and2) ,…….,(1and6),(2 and 1) , (2 and 2),.......,(2 and 6),.....,(6 and 1) ,(6 and 2),....,(6 and 6). Six pairs have sum less than 5: (1 and 1) ,(1 and 2) , (1 and 3) , (2 and 1) , (2 and 2), (3 and 1). Therefore , the probability that the sum is less than 5 is `(6)/(36)`=`1/6`.