Describe the sample space for the indicated experiment : A die is thrown two times.
Describe the sample space for the indicated experiment : A die is thrown two times.
When a die is thrown, the possible outcomes are $1,\,2,\,3,\,4,\,5,$ or $6$.
When a die is thrown two times, the sample is given by $S =\{(x, y): x , y =1,2,3,4,5,6\}$
The number of elements in this sample space is $6 \times 6=36,$ while the sample space is given by :
$S=\{(1,1),\,(1,2),\,(1,3)$, $( 1,4),\,(1,6),\,(2,1)$, $(2,2),\,(2,3),\,(2,4)$, $(2,5),\,(2,6),\,(3,1),$ $(3,2),\,(3,3),\,(3,4)$, $(3,5),$ $(3,6),\,(4,1)\,,(4,2)$, $(4,3),\,(4,4),\,(4,5),\,(4,6)$, $(5,1)\,,(5,2),$ $(5,3)\,,(5,4)\,,(5,5)$, $(5,6),\,(6,1),\,(6,2)$, $(6,3)$, $(6,4),\,(6,5),\,(6,6)\}$
Similar Questions
In a throw of a die, what is the probability of getting a number less than $7$
In a throw of a die, what is the probability of getting a number less than $7$
The probability of happening an event $A$ in one trial is $0.4$. The probability that the event $A$ happens at least once in three independent trials is
The probability of happening an event $A$ in one trial is $0.4$. The probability that the event $A$ happens at least once in three independent trials is
- [IIT 1980]
The probability of getting number $5$ in throwing a dice is
The probability of getting number $5$ in throwing a dice is
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is
- [AIEEE 2005]
The probability that an event will fail to happen is $0.05$. The probability that the event will take place on $4$ consecutive occasions is
The probability that an event will fail to happen is $0.05$. The probability that the event will take place on $4$ consecutive occasions is