In a single throw of two dice,what is the pro | vedclass

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

Question

(B) Let $A$ be the event that $4$ appears on the first die.The sample space for the first die showing $4$ is: $(4, 1), (4, 2), (4, 3), (4, 4), (4, 5),

Vedclass · Accepted Answer

$\frac{1}{2}$

Vedclass · Answer

(B) Let $A$ be the event that $4$ appears on the first die.The sample space for the first die showing $4$ is: $(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)$.There are $6$ possible outcomes in this reduced sample space.Let $B$ be the event that the sum of the numbers is greater than $7$.We look for outcomes $(4, x)$ such that $4 + x > 7$,which implies $x > 3$.The favorable outcomes are $(4, 4), (4, 5), (4, 6)$.There are $3$ favorable outcomes.The required probability is $\frac{	ext{Number of favorable outcomes}}{	ext{Total outcomes in reduced sample space}} = \frac{3}{6} = \frac{1}{2}$.

In a single throw of two dice,what is the probability of obtaining a sum of numbers greater than $7$,given that $4$ appears on the first die?

Similar Questions

$A$ bag contains $4$ white,$5$ red,and $6$ black balls. If two balls are drawn at random,then the probability that one of them is white is

$2$ dice are thrown. Find the probability of getting $6$ as the product.

For any event $A$,which of the following is true?

$A$ and $B$ throw a coin alternately till $1$ of them gets a head and wins the game. If $A$ starts the game,find the probability of $A$ winning.

Suppose $n \ge 3$ persons are sitting in a row. Two of them are selected at random. The probability that they are not together is

Vedclass Test Series

Exam Paper Generator

Online Exam Module