GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Jan 2019, 17:27

### GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# A mountain resort will hold its annual one-day snowboarding competitio

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52231
A mountain resort will hold its annual one-day snowboarding competitio  [#permalink]

### Show Tags

16 Sep 2018, 22:21
1
5
00:00

Difficulty:

45% (medium)

Question Stats:

56% (01:31) correct 44% (01:24) wrong based on 71 sessions

### HideShow timer Statistics

A mountain resort will hold its annual one-day snowboarding competition if it snows on either Saturday or Sunday, but if it does not snow at all it will not hold the event. If there is a 70% chance that it snows on any given day at the resort, what is the probability that the event will be held?

A. 70%
B. 80%
C. 81%
D. 90%
E. 91%

_________________
Manager
Joined: 23 Aug 2016
Posts: 108
Location: India
Concentration: Finance, Strategy
GMAT 1: 660 Q49 V31
GPA: 2.84
WE: Other (Energy and Utilities)
Re: A mountain resort will hold its annual one-day snowboarding competitio  [#permalink]

### Show Tags

16 Sep 2018, 22:32
Bunuel wrote:
A mountain resort will hold its annual one-day snowboarding competition if it snows on either Saturday or Sunday, but if it does not snow at all it will not hold the event. If there is a 70% chance that it snows on any given day at the resort, what is the probability that the event will be held?

A. 70%
B. 80%
C. 81%
D. 90%
E. 91%

Chances of Snow on a given day is =0.7

So there are 3 possibilities for competition to take place= Snows on Saturday and on Sunday+Snows on Saturday but not on Sunday+NO snow on Saturday but snows on Sunday

Snow on any day=Snow on Sunday=Snow on Sunday=0.7
No snow on any day=No Snow on Sunday=No Snow on Sunday=1- 0.7=0.3

as both the events are mutually exclusive

=0.7*0.7 +0.7*0.3+0.3*0.7
=0.49+0.21+0.21
=0.91
=91%

_________________

Thanks and Regards,

Honneeey.

In former years,Used to run for "Likes", nowadays, craving for "Kudos". :D

Senior Manager
Joined: 15 Oct 2017
Posts: 312
GMAT 1: 560 Q42 V25
GMAT 2: 570 Q43 V27
GMAT 3: 710 Q49 V39
Re: A mountain resort will hold its annual one-day snowboarding competitio  [#permalink]

### Show Tags

17 Sep 2018, 12:32
Probability that it snows on a day=70%, probability that it does not now=30%.
Probability that it does not snow on both of the days= 0.3 * 0.3 = .09 or 9%

Hence, probability that it snows on either of the days= 1-9/100 = 91%.

Therefore, E.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4527
Location: United States (CA)
Re: A mountain resort will hold its annual one-day snowboarding competitio  [#permalink]

### Show Tags

18 Sep 2018, 17:47
1
Bunuel wrote:
A mountain resort will hold its annual one-day snowboarding competition if it snows on either Saturday or Sunday, but if it does not snow at all it will not hold the event. If there is a 70% chance that it snows on any given day at the resort, what is the probability that the event will be held?

A. 70%
B. 80%
C. 81%
D. 90%
E. 91%

We see that that they will NOT hold the event only if it does not snow on Saturday and it does not snow on Sunday. Since the probability is 0.7 that it will snow on any given day, we see that the probability that it will NOT snow on any given day is (1 - 0.7) = 0.3. We can use the formula:

P(hold the event) = 1 - P(not hold the event)

P(not hold the event) = 0.3 x 0.3 = 0.09.

So P(hold the event) = 1 - 0.09 = 0.91 = 91%

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: A mountain resort will hold its annual one-day snowboarding competitio &nbs [#permalink] 18 Sep 2018, 17:47
Display posts from previous: Sort by