Two fair dice are rolled. What is the probability of getting a sum of 7 ?

Options

A. `(1)/(36)`
B. `(1)/(6)`
C. `(7)/(12)`
D. `(5)/(12)`

Answer

B

Explanation

Probability of solving question A, P(A)=0.4
Probability of solving Question B, P(B)=0.5
`therefore P(A')=1-P(A)=1-0.4=0.6`
`P(B')=1-P(B)=1-0.5=0.5`
Probability to solve atleast one question=`P(A cup B)`
`P(A cup B)=1-P(A' capB')`
`-1-(0.6xx0.5)`
`=1-0.3`
=0.7