(A) The total number of ways to obtain a sum of $15$ with $3$ dice is $10$. The possible outcomes are: $(6,6,3), (6,3,6), (3,6,6), (6,5,4), (6,4,5), (

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

(A) The total number of ways to obtain a sum of $15$ with $3$ dice is $10$. The possible outcomes are: $(6,6,3), (6,3,6), (3,6,6), (6,5,4), (6,4,5), (5,6,4), (5,4,6), (4,6,5), (4,5,6), (5,5,5)$.The number of ways in which $4$ appears on the first die is $2$,which are $(4,6,5)$ and $(4,5,6)$.Therefore,the required probability $= \frac{2}{10} = \frac{1}{5}$.

Competitive Quantitative Aptitude Probability Probability

Medium

Three dice are thrown. The sum of the numbers is $15$. What is the chance of getting $4$ on the first die?

A
$\frac{1}{5}$
B
$\frac{2}{5}$
C
$\frac{3}{5}$
D
$\frac{4}{5}$

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Probability

Subtopic

Probability

If four vertices of a regular octagon are chosen at random,then the probability that the quadrilateral formed by them is a rectangle is

Difficult

View Solution

Three coins are tossed together,then the probability of getting at least one head is

Easy

View Solution

$A$ card is drawn from a pack of $52$ cards and a gambler bets that it is a spade or an ace. Which one of the following is the odds against his winning this bet?

Difficult

View Solution

In a single throw of $2$ dice,what is the probability of getting a total of $7$?

Medium

View Solution

From a pack of cards,two are drawn,the first being replaced before the second is drawn. Find the probability that the first is a diamond and the second is a king.

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Three dice are thrown. The sum of the numbers is $15$. What is the chance of getting $4$ on the first die?

Similar Questions

If four vertices of a regular octagon are chosen at random,then the probability that the quadrilateral formed by them is a rectangle is

Three coins are tossed together,then the probability of getting at least one head is

$A$ card is drawn from a pack of $52$ cards and a gambler bets that it is a spade or an ace. Which one of the following is the odds against his winning this bet?

In a single throw of $2$ dice,what is the probability of getting a total of $7$?

From a pack of cards,two are drawn,the first being replaced before the second is drawn. Find the probability that the first is a diamond and the second is a king.

Vedclass Test Series

Exam Paper Generator

Online Exam Module