3 shirts
2 shoes
3 pants
so on day 1 he can pick any shoe, shirt and pair of pants
1*1*1
on day 2
2/3*1/2*2/3
on day 3
1/3*1/2*1/3
so multiplying day1*day2*day3 we get
1*1*1 * 2/3*1/2*2/3 * 1/3*1/2*1/3
(1/3)^4
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Target Test Prep GMAT OnDemand
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
- 715+ score guarantee — highest in the industry (99th percentile)
- 52 chapters · 1,500+ lessons · 4,000+ practice questions
- 400 hours of video · 1,500+ instructor-led HD smartboard lessons
- 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
- 24/7 live support + weekly Zoom office hours with GMAT instructors
- TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
- 1,200+ flashcards + AI-powered study assistant & daily calendar
- OnDemand, LiveTeach & GMAT Bootcamp formats available
- Also: GRE, SAT Math & Executive Assessment courses
- MBA Admissions Consulting now available
- 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
- 200,000+ students served
- 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★
5.0
(559 reviews)
130-pt guarantee
$0 to start
then $127/mo
Probability
Source: Beat The GMAT — Problem Solving |
Another approach...
exhaustive cases = (3*2*3)pow3
fav cases = (3*2*3)(2*1*2)(1*1*1)
so probability = 1/81
exhaustive cases = (3*2*3)pow3
fav cases = (3*2*3)(2*1*2)(1*1*1)
so probability = 1/81
in question it says that guy picks "1 pair of pants " and that's confused me as I thought he is picking 2 pants each day.
But I am thinking he cant wear them both at the same time
But I am thinking he cant wear them both at the same time
















