Describe the sample space for the indicated e | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

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 space $S$ is given by the set of all

Vedclass · Accepted Answer

Vedclass · Answer

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 space $S$ is given by the set of all ordered pairs $(x, y)$ where $x$ and $y$ represent the outcomes of the first and second throw respectively,such that $x, y \in \{1, 2, 3, 4, 5, 6\}$.
The total number of elements in this sample space is $6 \times 6 = 36$.
The sample space $S$ is:
$S = \{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)\}$

Describe the sample space for the indicated experiment: $A$ die is thrown two times.

Similar Questions

For two events $A$ and $B$,if $P(A \cup B) = \frac{5}{6}$,$P(A) = \frac{1}{6}$,and $P(B) = \frac{2}{3}$,then $A$ and $B$ are:

In the random experiment of tossing two unbiased dice,let $E$ be the event of getting the sum $8$ and $F$ be the event of getting even numbers on both the dice. Then:
$I. P(E) = \frac{7}{36}$
$II. P(F) = \frac{1}{3}$
Which of the following is a correct statement?

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:
$A:$ the sum is greater than $8$.
$B:$ $2$ occurs on either die.
$C:$ the sum is at least $7$ and a multiple of $3$.
Which pairs of these events are mutually exclusive?

$X$ speaks truth in $60\%$ and $Y$ in $50\%$ of the cases. The probability that they contradict each other in narrating the same incident is

Two integers $x$ and $y$ are chosen with replacement from the set $\{0, 1, 2, 3, \ldots, 10\}$. Then the probability that $|x-y| > 5$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module