Two dice are thrown simultaneously the probability of obtaining total score of 6 is
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Answers
probability=number of favourable out comes/total number of out comes
number of favourable outcomes are 1,5; 2,4; 3,3; 4,2; 5,1
total number of outcomes are 12
probability = 5/12
Two dices are thrown, then the total number of outcomes would be 36 as listed below:
(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), (13 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)
We have to find the probability of obtaining a total score of 6, i.e., the digits appearing on top of the dices should sum up to 6.
So, Here, the total number of favourable outcomes is... 5 as
(1, 5),
(2, 4),
(3, 3),
(4, 2),
(5, 1)
Each of the above outcomes has the sum equal to 6.
These are the favourable outcomes, i.e, the outcomes we want.
So no. of favourable outcomes = 5.
Probability of an event E is given by:
P(E)=No.of favourable outcomes/Totalno.of outcomes
So, here,
P(E)=5/36
Hope this helps :D
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