Register

GATE Overflow Test Series | Probability | Test 1 | Question: 7

227 views

2 Answers

Best answer
1 votes
1 votes
Total number of outcomes $=6^6.$

Favorable cases are the ones without repetition. For $6$ rolls we can have $6\times 5 \times 4 \times 3 \times 2 \times 1 = 6!=720$ favorable cases.

So, required probability, $X=\dfrac{720}{6^6} = 0.01543 $

$1000X = 15.43$
• selected by
User Avatar
0 votes
0 votes

A die is rolled 6 times so total outcomes = 6^6

favorable outcomes without repetition(different number)= 6! = 6x5x4x3x2x1

So according to given scenario Probability = favorable outcomes without repetition/total outcomes

                                                                     = 6!  / 6^6

                                                                     =  0.01543

                                             so 1000X=  0.1543  x 1000 = 15.43

 

I hope my answer helps you a lot.

User Avatar
Voting & Accepting an answer helps improve the community
Answer:
← PreviousNext →
← Previous in categoryNext in category →

Related questions

3 votes
3 votes
2 answers
1
gatecse asked Sep 22, 2020
216 views
GATE Overflow Test Series | Probability | Test 1 | Question: 2
Consider the following series of numbers $1\;1\;23\;43\;2\;14\;7$ If $a$ denotes the mean, $b$ denotes the mode and $c$ denotes the median of these numbers, $a+2b+3c = $ ____
Consider the following series of numbers$$1\;1\;23\;43\;2\;14\;7$$ If $a$ denotes the mean, $b$ denotes the mode and $c$ denotes the median of these numbers, $a+2b+3c = $...
User Avatar
3 votes
3 votes
3 answers
2
gatecse asked Sep 22, 2020
367 views
GATE Overflow Test Series | Probability | Test 1 | Question: 3
If in a series of $10$ values all values are multiplied by $5,$ the percentage change in the standard deviation will be _________
If in a series of $10$ values all values are multiplied by $5,$ the percentage change in the standard deviation will be _________
User Avatar
1 votes
1 votes
2 answers
3
gatecse asked Sep 22, 2020
275 views
GATE Overflow Test Series | Probability | Test 1 | Question: 6
Two dice are rolled. The probability of getting consecutive numbers on both is ____. (Rounded to two decimal points)
Two dice are rolled. The probability of getting consecutive numbers on both is ____. (Rounded to two decimal points)
User Avatar
1 votes
1 votes
2 answers
4
gatecse asked Sep 22, 2020
295 views
GATE Overflow Test Series | Probability | Test 1 | Question: 8
A bag has $8$ pieces of paper, each with one of the letters of $\text{‘GATE2021’}.$ If the probability that the letters of the papers picked in order without replacement spell $\text{‘GATE2021’}$ is $X,\;10000X = $ _____ (Rounded to two decimal points)
A bag has $8$ pieces of paper, each with one of the letters of $\text{‘GATE2021’}.$ If the probability that the letters of the papers picked in order without replace...
User Avatar
Link Copied!