Q. 294.8( 12 Votes )

Two different dic

Answer :

(i) When two dies are thrown together, the possible outcomes are=

{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)


(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)


(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)


(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)


(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)


(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)}


Total no of possible outcomes = 36


Outcomes having even sum=


{(1, 1) (1, 3) (1, 5) (2, 2) (2, 4) (2, 6) (3, 1) (3, 3) (3, 5)


(4, 2) (4, 4) (4, 6) (5, 1) (5, 3) (5, 5) (6, 2) (6, 4) (6, 6)}


Total No of favorable outcomes = 18


And we know,


Probability of an event


P(Getting even sum)


(ii)


When two dies are thrown together, the possible outcomes are=


{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)


(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)


(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)


(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)


(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)


(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)}


Total no of possible outcomes = 36


Outcomes having even product=


{(1, 2) (1, 4) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 2)


(3, 4) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 2) (5, 4)


(5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)}


Total No of favorable outcomes = 27


And we know,


Probability of an event


P(Getting even product)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Glimpses of IndiaGlimpses of IndiaGlimpses of India39 mins
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
caricature
view all courses