The number $1,\,2,\,3$ and $4$ are written separately on four slips of paper. The slips are put in a box and mixed thoroughly, A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.
The number $1,\,2,\,3$ and $4$ are written separately on four slips of paper. The slips are put in a box and mixed thoroughly, A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.
If $1$ appears on the first drawn slip, then the possibilities that the number appears on the second drawn slip are $2,\,3,$ or $4 .$ Similarly, if $2$ appears on the first drawn slip, then the possibilities that the number appears on the second drawn slip are $1,\,3,$ or $4 .$ The same holds true for the remaining number too.
Thus, the sample space of this experiment is given by
$S=\{(1,2),\,(1,3)$, $(1,4),\,(2,1)$, $(2,3),\,(2,4),\,(3,1),\,(3,2)$, $(3,4),\,(4,1)$, $(4,2),\,(4,3)\}$
Similar Questions
A box contains $3$ white and $2$ red balls. A ball is drawn and another ball is drawn without replacing first ball, then the probability of second ball to be red is
A box contains $3$ white and $2$ red balls. A ball is drawn and another ball is drawn without replacing first ball, then the probability of second ball to be red is
Consider the experiment of rolling a die. Let $A$ be the event 'getting a prime number ', $B$ be the event 'getting an odd number '. Write the sets representing the events $A$ and $B$
Consider the experiment of rolling a die. Let $A$ be the event 'getting a prime number ', $B$ be the event 'getting an odd number '. Write the sets representing the events $A$ and $B$
Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space.
Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space.
Let $A$ be the event that the absolute difference between two randomly choosen real numbers in the sample space $[0,60]$ is less than or equal to $a$. If $P(A)=\frac{11}{36}$, then $a$ is equal to $...............$.
Let $A$ be the event that the absolute difference between two randomly choosen real numbers in the sample space $[0,60]$ is less than or equal to $a$. If $P(A)=\frac{11}{36}$, then $a$ is equal to $...............$.
- [JEE MAIN 2023]
One card is drawn from each of two ordinary packs of $52$ cards. The probability that at least one of them is an ace of heart, is
One card is drawn from each of two ordinary packs of $52$ cards. The probability that at least one of them is an ace of heart, is