In a 5/39 lottery, what's the probability of winning second place?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
icon
Concept explainers
Topic Video
Question

In a 5/39 lottery, what's the probability of winning second place?

 

Expert Solution
Step 1

A 5/39 lottery means there are 39 numbers among them 5 numbers are winning numbers. 

So there are (39-5)=34 losing numbers. 

A person will be second if he selects 4 winning numbers and 1 losing number. 

He can pick 4 winning numbers and 1 losing number in = (5C4)×(34C1)=5×34=170

 

He can pick any 5 numbers from 39 numbers in 39C5=

 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON