Squash- weather inclement

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[email protected]: Junior | Next Rank: 30 Posts; Posts: 29; Joined: Tue Jan 08, 2008 1:42 pm

by [email protected] » Thu Dec 23, 2010 2:49 pm

I don't agree with Manhattan's reasoning.

According to them the correct answer is 32.5%.

Please explain.

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Source: Beat The GMAT — Problem Solving | Thu Dec 23, 2010 2:49 pm

anshumishra: Legendary Member; Posts: 543; Joined: Tue Jun 15, 2010 7:01 pmFollowed by: 3 members; Thanked: 147 times

by anshumishra » Thu Dec 23, 2010 3:43 pm

[email protected] wrote:I don't agree with Manhattan's reasoning.

According to them the correct answer is 32.5%.

Please explain.

Probability that I'll play squash if (My mother doesn't come Tomorrow) AND (Doesn't hail) AND (No Rain)
= 1/2*3/4*9/10 = 27/80 ~= 33%

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[email protected]: Junior | Next Rank: 30 Posts; Posts: 29; Joined: Tue Jan 08, 2008 1:42 pm

by [email protected] » Thu Dec 23, 2010 5:01 pm

Unfortunately, that's not the correct answer.

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goyalsau: Legendary Member; Posts: 866; Joined: Mon Aug 02, 2010 6:46 pm; Location: Gwalior, India; Thanked: 31 times

by goyalsau » Thu Dec 23, 2010 5:48 pm

[email protected] wrote:Unfortunately, that's not the correct answer.

HI! Archit, Different kind of a question,

Its very rare that anshu got this one wrong.... after all the post that i have seen of him,

According to me, Answer should be 32.5%

There 25% of Hail & 10% chance of rain.

So 25 + 10 = 35 %

100 - 35 = 65 % chance of clear whether.

65/2 = 32.5% Mother come to bother him.

remaining 32.5% chance of play...

Saurabh Goyal
[email protected]
-------------------------

EveryBody Wants to Win But Nobody wants to prepare for Win.

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anshumishra: Legendary Member; Posts: 543; Joined: Tue Jun 15, 2010 7:01 pmFollowed by: 3 members; Thanked: 147 times

by anshumishra » Thu Dec 23, 2010 5:56 pm

goyalsau wrote:
[email protected] wrote:Unfortunately, that's not the correct answer.

HI! Archit, Different kind of a question,

Its very rare that anshu got this one wrong.... after all the post that i have seen of him,

According to me, Answer should be 32.5%

There 25% of Hail & 10% chance of rain.

So 25 + 10 = 35 %

100 - 35 = 65 % chance of clear whether.

65/2 = 32.5% Mother come to bother him.

remaining 32.5% chance of play...

Thanks goyalsau for the kind words and the solution !
I guess the word "hail" didn't make sense to me and now I got it that it points to a weather condition which is not favorable.
Your solution makes perfect sense to me.

Thanks

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captcha: Junior | Next Rank: 30 Posts; Posts: 19; Joined: Mon Dec 20, 2010 8:56 pm; Thanked: 1 times

by captcha » Thu Dec 23, 2010 7:09 pm

mother come = 50% chance

Hail = 25% chance

Rain = 10% chance

You can play if mom doesn't come & no hail & no rail

Probability of playing = P(no mom)*P(no hail)*P(no rain)

P(play) = .5*.75*.9

P(play)=33.75%

if hail & rain cannot come together;

P(play) = .5*(1-.25-.1)

P(play) = 32.5%

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