what is doublet?what is probability of getting a doublet if two dice are thrown?
Answers
Answer:
Doublet is a pair of number with same digits in both places.
Example : 11 ( 1=1 ) , 22 ( 2=2 ) and so on...
TIP : Most of doublets are completely divisible by 11.
Step-by-step explanation:
When two dice are thrown simultaneously, the sample space of the experiment is
{(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)}
So there are 36 equally likely outcomes.
Possible number of outcomes = 36.
(i)Let E be an event of getting a doublet.
Favourable outcomes = {(1,1), (2,2),(3,3), (4,4), (5,5),(6,6)}
Number of favourable outcomes = 6
P(E) = 6/36 = 1/6
Probability of getting a doublet is 1/6 .