This GMAT Quant practice question is a Permutation Combination problem solving question and the concept tested is finding the outcomes when a set of coins are tossed simultaneously.
Question 7: Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
When a coin is tossed once, there are two outcomes. It can turn up a head or a tail.
When 10 coins are tossed simultaneously, the total number of outcomes = 210
Out of these, if the third coin has to turn up a head, then the number of possibilities for the third coin is only 1 as the outcome is fixed as head.
We need to find out what happens to the remaining 9 coins
The remaining 9 coins can turn up either a head or a tail. Each of the 9 coins has 2 possibilities.
Number of outcomes for the remaining 9 coins = 29
∴ the number of outcomes in which the 3rd coin turns a head = 1 × 29 = 29.
Register in 2 easy steps and
Start learning in 5 minutes!
Next Batch April 9, 2023
GMAT Questionbank | Number Properties
GMAT Math Questions | Inequalities
GMAT Math Questions | Set Theory
GMAT Questions | Ratio, Percent, Fractions
GMAT Sample Questions | Rates - Work, Speed
GMAT Questions | Permutation & Probability
GMAT Sample Questions | Geometry
Copyrights © 2016 - 23 All Rights Reserved by Wizako.com - An Ascent Education Initiative.
GMAT® is a registered trademark of the Graduate Management Admission Council (GMAC). This website is not endorsed or approved by GMAC.
GRE® is a registered trademarks of Educational Testing Service (ETS). This website is not endorsed or approved by ETS.
SAT® is a registered trademark of the College Board, which was not involved in the production of, and does not endorse this product.
Wizako - GMAT, GRE, SAT Prep
An Ascent Education Initiative
14B/1 Dr Thirumurthy Nagar 1st Street
Chennai 600 034. India
Mobile: (91) 95000 48484
WhatsApp: WhatsApp Now
Leave A Message
TANCET Previous Year Question Papers
NCERT Solution for Class 10 Maths
CBSE Sample Papers for class 10