Bunuel wrote:
Jamboree and GMAT Club Contest Starts
QUESTION #5:A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability that the first ball picked up is odd numbered?
(A) 0
(B) 1/3
(C) 1/2
(D) 2/3
(E) 1
Check conditions below:
For the following two weekends we'll be publishing 4 FRESH math questions and 4 FRESH verbal questions per weekend.
To participate, you will have to reply with your best answer/solution to the new questions that will be posted on
Saturday and Sunday at 9 AM Pacific. Then a week later, respective forum moderators will be selecting 2 winners who provided most correct answers to the questions, along with best solutions. Those winners will get 6-months access to
GMAT Club Tests.
PLUS! Based on the answers and solutions for all the questions published during the project ONE user will be awarded with ONE Grand prize. He/She can opt for one of the following as a Grand Prize. It will be a choice for the winner:
-- GMAT Online Comprehensive (
If the student wants an online GMAT preparation course)
-- GMAT Classroom Program (
Only if he/she has a Jamboree center nearby and is willing to join the classroom program)
Bookmark this post to come back to this discussion for the question links - there will be 2 on Saturday and 2 on Sunday!
There is only one Grand prize and student can choose out of the above mentioned too options as per the conditions mentioned in blue font.All announcements and winnings are final and no whining GMAT Club reserves the rights to modify the terms of this offer at any time. NOTE: Test Prep Experts and Tutors are asked not to participate. We would like to have the members maximize their learning and problem solving process.
Thank you!
JAMBOBREE OFFICIAL SOLUTION:If 3 balls are selected such that 2 of them have odd numbers on them and the other has even number, then there are 3 cases:
Odd Odd Even - OOE,
Odd Even Odd - OEO,
Even Odd Odd - EOO
Clearly, of these total 3 cases, there are 2 favorable cases in which the first ball picked is odd. Thus, required probability is 2/3.
Answer: D.
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