In his ranch, Doug Bo can place a loop of rope, called...

This topic has expert replies
Moderator
Posts: 2505
Joined: Sun Oct 15, 2017 1:50 pm
Followed by:6 members
in his ranch, Doug Bo can place a loop of rope, called a lasso, once in every two throws around a cow's neck. What is the probability that he will be able to place a lasso around a cow's neck at least once in 5 attempts?

(A) 1/5
(B) 15/32
(C) 1/2
(D) 31/32
(E) 1

The OA is D.

I solved this PS question as follow,

P( putting laaso) =1/2

P ( not putting lasso ) =1/2

Let's assume this person cannot put lasso around cows neck in 5 attempts : P = (1/2)^5=1/32

Then P ( putting lasso a least once) = 1 - (1/32)=31/32. Option D.

Experts, any suggestion? Thanks in advance.
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Mon Mar 19, 2018 10:27 pm
LUANDATO wrote:in his ranch, Doug Bo can place a loop of rope, called a lasso, once in every two throws around a cow's neck. What is the probability that he will be able to place a lasso around a cow's neck at least once in 5 attempts?

(A) 1/5
(B) 15/32
(C) 1/2
(D) 31/32
(E) 1

The OA is D.

I solved this PS question as follow,

P( putting laaso) =1/2

P ( not putting lasso ) =1/2

Let's assume this person cannot put lasso around cows neck in 5 attempts : P = (1/2)^5=1/32

Then P ( putting lasso a least once) = 1 - (1/32)=31/32. Option D.

Experts, any suggestion? Thanks in advance.
All perfect. Nothing to add. :)

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Singapore | London | Dubai | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

User avatar
GMAT Instructor
Posts: 1462
Joined: Thu Apr 09, 2015 9:34 am
Location: New York, NY
Thanked: 39 times
Followed by:22 members

by Jeff@TargetTestPrep » Wed Mar 21, 2018 3:22 pm
LUANDATO wrote:in his ranch, Doug Bo can place a loop of rope, called a lasso, once in every two throws around a cow's neck. What is the probability that he will be able to place a lasso around a cow's neck at least once in 5 attempts?

(A) 1/5
(B) 15/32
(C) 1/2
(D) 31/32
(E) 1
We can use the formula:

P(success in at least one of 5 attempts) = 1 - P(no successes in 5 attempts)

Since P(no successes in 5 attempts) = (1/2)^5 = 1/32, then:

P(success in at least one of 5 attempts) = 1 - 1/32 = 31/32

Answer: D

Jeffrey Miller
Head of GMAT Instruction
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews