Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**samliew****Member**- Registered: 2005-08-27
- Posts: 4

I just thought of this question:

Scenario:

There are 350 people attending a celebration dinner.

Seated at every table are 10 people (35 tables).

One of the event is a lucky draw with 35 prizes to be given out by drawing numbers electronically.

Assumptions (if necessary):

1) Nobody can get a prize twice.

2) Everybody stays until the end of the event.

3) The drawing of the numbers is fair.

Question:

1) What is the chance that a person gets a prize?

2) What is the chance that at least one person from a table gets a prize?

3) What is the chance that everybody from a table gets a prize?

Anybody can help me? Please show your working and answers clearly documented.

*Last edited by samliew (2005-08-28 11:47:31)*

Personal Website: www.samliew.com

Offline

**wcy****Member**- Registered: 2005-08-04
- Posts: 117

1) 35/350=0.1

2)Chance that nobody gets a prize -- 0.9^10=0.34867844

Chance that at least one person gets a prize-- 1-0.34867844=0.65132156

3) 0.1^10=1.0 × 10-10 (which is very low)

Offline

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

Neat job, wcy !

And a big welcome to the forum, samliew.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

Offline

**samliew****Member**- Registered: 2005-08-27
- Posts: 4

Thanks alot! Actually, I was in that dinner

Personal Website: www.samliew.com

Offline

Pages: **1**