BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Prob

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 869
Joined: Wed Aug 26, 2009 3:49 pm
Location: California
Thanked: 13 times
Followed by:3 members

Prob

by heshamelaziry » Wed Nov 04, 2009 6:05 pm
A team has a record of 12 wins and 13 losses for the season. Three games remain. If the probability of winning each remaining game is 1/2, and there are no draws, what is the probability that the team will finish the season with a winning record ?

1/8

1/4

3/8

1/2

5/8
Top
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 40
Joined: Mon Feb 16, 2009 8:50 pm
Thanked: 3 times

ans

by crackthetest » Wed Nov 04, 2009 8:20 pm
1/4

The team needs atleast 2 wins, so the prob is 1/2*1/2.
Top
Legendary Member
Posts: 869
Joined: Wed Aug 26, 2009 3:49 pm
Location: California
Thanked: 13 times
Followed by:3 members

Re: Prob

by heshamelaziry » Wed Nov 04, 2009 8:37 pm
heshamelaziry wrote:A team has a record of 12 wins and 13 losses for the season. Three games remain. If the probability of winning each remaining game is 1/2, and there are no draws, what is the probability that the team will finish the season with a winning record ?

1/8

1/4

3/8

1/2

5/8
[spoiler]OA 1/8[/spoiler]
Top
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Wed Oct 21, 2009 2:17 am
Location: New Delhi
Thanked: 3 times

by jaspreet_takhar » Wed Nov 04, 2009 8:59 pm
The team needs to win the remaining 3 matches to get a score of 15-13..
so , 1/8 is right
Top
Legendary Member
Posts: 869
Joined: Wed Aug 26, 2009 3:49 pm
Location: California
Thanked: 13 times
Followed by:3 members

by heshamelaziry » Wed Nov 04, 2009 9:24 pm
jaspreet_takhar wrote:The team needs to win the remaining 3 matches to get a score of 15-13..
so , 1/8 is right
But the team only need ttwo wins to be 14-13 ?
Top
Legendary Member
Posts: 882
Joined: Fri Feb 20, 2009 2:57 pm
Thanked: 15 times
Followed by:1 members
GMAT Score:690

by crackgmat007 » Wed Nov 04, 2009 9:52 pm
heshamelaziry wrote:
jaspreet_takhar wrote:The team needs to win the remaining 3 matches to get a score of 15-13..
so , 1/8 is right
But the team only need ttwo wins to be 14-13 ?
What if the last game is lost? It will be a draw. Since theq uestion requires us to calculate the probability that the team will finish the season with a winning record , all three games need to be considered.

Hope it clarifies.
Top
Junior | Next Rank: 30 Posts
Posts: 21
Joined: Tue Aug 18, 2009 9:46 am
Thanked: 4 times

by antondesh » Thu Nov 05, 2009 12:44 pm
Yeah it should be 1/8.

Think about it. The team is has 12 wins, 13 losses. 3 games remain.

If they win 2 and lose 1, their final record will be 14 wins, 14 losses.

So they will need to win of their remaining games. Probablily of that is 1/2 * 1/2 * 1/2 = 1/8.
Top
Post new topic Post Reply
• Page 1 of 1