Q. 245.0( 1 Vote )

Two dice are thrown together and the total score is noted. The event E, F and G are “a total 4”, “a total of 9 or more”, and “a total divisible by 5”, respectively. Calculate P(E), P(F) and P(G) and decide which pairs of events, if any, are independent.

Answer :

We are throwing two dice so,

Sample space S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),






Sample space contains 36 elements,


let E be an event of getting sum 4



F be the event of getting 9 or more

F ={(3,6),(6,3),(4,5),(5,4),(4,6),(6,4),(5,5),(5,6),(6,5),(6,6)}


G be the event getting a total divisible by 5

G= {(1,4),(4,1),(2,3),(3,2),(4,6),(6,4),(5,5)}


So E and F are not independent

So E and G are not independent

So F and G are not independent

Therefore no pair is independent

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses