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About Scott A Wilson
Expertise
I can answer any question in general math, algebra, complex mathematics, trigonometry, pre-calculus, probability, statistics, ... is there an end to this list?

Experience
Experience in the area; I have tutored people over the years in algebra, basic math, and statistics. I worked at The Boeing Company for over 5 years. Education/Credentials: MS degreee in Mathematics from Oregon State Univeristy; taken well over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors. Past/Present Clients: College Students at OSU, various math people since college, over 700 people in math and calculus.
 
   

You are here:  Experts > Science > Mathematics > Advanced Math > Probability

Topic: Advanced Math



Expert: Scott A Wilson
Date: 5/18/2008
Subject: Probability

Question
You are dealt a 13 card bridge hand from a 52 card bridge deck.

a. What is the probability that you will be dealt exactly 5 hearts?

b. What is the probability that you will be dealt at least 2 hearts?

c. What is the probability that you will receive 5 hearts, 4 clubs, 2 diamonds, and 1 spade?

Answer
This is a basic choice problem.  If the are N items with n defective, what's the chance of getting m wrong in a draw of size M.  Take (a,b) to be a choose b.

The answer is (M,m),(N-M,n-m)/(N,n).

On all, N=52 and n=13.

On a., m=5.  On b., m=2.  On c., there are four factors on top: (13,5), (13,4), (13,2), and (13,1) which are multiplied together before being divided by (N,n).

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