A mountain resort will hold its annual one-day snowboarding competition if it snows on either Saturday or Sunday, but if

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Tue Jun 02, 2020 7:40 pm

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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%

OA E

Source: Veritas Prep

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Source: Beat The GMAT — Problem Solving | Tue Jun 02, 2020 7:40 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 amFollowed by: 34 members; Location: Grand Central / New York; Thanked: 470 times

Re: A mountain resort will hold its annual one-day snowboarding competition if it snows on either Saturday or Sunday, bu

by Jay@ManhattanReview » Wed Jun 03, 2020 12:42 am

BTGmoderatorDC wrote: ↑
Tue Jun 02, 2020 7:40 pm
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%

OA E

Source: Veritas Prep

Given that there is a 70% chance that it snows on any given day at the resort, there is a 100% – 70% = 30% chance that it does not snow on any given day at the resort.

The event will not be held if there is no snow on either day.

So, the probability that the event will not be held = 30%*30% = 9%

So, the probability that the event will be held = 100% – 9% = 91%

The correct answer: E

Hope this helps!

-Jay
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8154; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: A mountain resort will hold its annual one-day snowboarding competition if it snows on either Saturday or Sunday, bu

by Scott@TargetTestPrep » Sat Apr 03, 2021 9:56 am

BTGmoderatorDC wrote: ↑
Tue Jun 02, 2020 7:40 pm
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%

OA E

Solution:

We see 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%.

Answer: E

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