Question

27, In asimultaneous pair of dice throw find the probability of getting an even number oneach die.


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Answer 1

Sample space 36

E =9

Probability=9/36

=1/4

Explanation:-
Sample space=
(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)

Event(Even on both Dice)
= (2,2) (2,4) (2,6)
(4,2) (4,4) (4,6)
(6,2) (6,4) (6,6)=9

probability=
Even on both Dice/Sample space
=9/36
=1/4