Stat problems for Wed, Sept 4

Suppose we draw a card from a well shuffled deck.

What is the probability that we draw a red four?

What is the probability that we draw a red four or a diamond?

Suppose we draw two cards from a well shuffled deck.
What is the probability that we draw a red four and then a club?

The table below shows a contingency table for class data from one of my classes a few years ago. The columns are indexed by gender and the rows by declared major. Suppose we randomly pick a student from this class.

What is the probability that student is a statistics major?

What is the probability that student is a Health and Wellness major or a man?

What is the probability that student is a Health and Wellness major and a man?
Gender 
Female 
Male 
All 
Major 



Biology 
1 
1 
2 
Computer Science 
1 
2 
3 
Enviromental Science 
2 
0 
2 
Health and Wellness 
2 
3 
5 
Management 
2 
2 
4 
Mass Comm 
2 
0 
2 
Music 
1 
0 
1 
Music And Accounting 
0 
1 
1 
New Media 
0 
1 
1 
Political Science 
0 
2 
2 
Psychology 
2 
0 
2 
Sociology 
1 
0 
1 
Statistics 
0 
1 
1 
All 
14 
13 
27 