GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Daniel is playing a dice game in which
[#permalink]
08 Jun 2019, 05:09
08 Jun 2019, 05:09
4
1
31
Bookmarks
00:00
Question Stats:
21% (02:34) correct
78% (02:12) wrong based on 144 sessions
Hide Show timer Statistics
Daniel is playing a dice game in which a dice is rolled 5 times. If a number turns up exactly 3 times then the game is won. Daniel has thrown the dice two times and got number 4 both times. What is the probability that Daniel will win the game ?
Note: the dice is an unbiased die with numbers 1 to 6
a) 1/216
b) 75/216
c) 80/216
d) 90/216
e) 100/216
Note: the dice is an unbiased die with numbers 1 to 6
a) 1/216
b) 75/216
c) 80/216
d) 90/216
e) 100/216
Re: Daniel is playing a dice game in which
[#permalink]
18 Aug 2020, 15:31
18 Aug 2020, 15:31
7
1
Expert Reply
3
Bookmarks
The game is won when 1 number show up Exactly 3 times
We are given first two throw result in 4 so we need one more 4 to win , this can be done in 1*1*5/6*5/6*1/6*3
where 5/6 is probability of not getting 4 and they can be arranged in 3 ways.
Now we can also win the game if we get rest of numbers 3 times i.e 1,2,3,5,6
so probability will be =5*1/6*1/6*1/6
The probability of winning =5/216+75/216=80/216
Regards
We are given first two throw result in 4 so we need one more 4 to win , this can be done in 1*1*5/6*5/6*1/6*3
where 5/6 is probability of not getting 4 and they can be arranged in 3 ways.
Now we can also win the game if we get rest of numbers 3 times i.e 1,2,3,5,6
so probability will be =5*1/6*1/6*1/6
The probability of winning =5/216+75/216=80/216
Regards
General Discussion
Re: Daniel is playing a dice game in which
[#permalink]
18 Aug 2020, 15:31
18 Aug 2020, 15:31
1
Expert Reply
Bump for further discussion
