The Tauroto region contains 31 different species of IceCream-type small monsters.  Each capture of an IceCream-type small monster has an equal chance of being any of the 31 species.   a) If a collector captures five of these small monsters, what is the probability that they have captured at least two small monsters of the same species?   b) What is the lowest number of IceCream-type small monsters that a collector must capture to make capturing at least two of the same species more likely than not?

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
Topic Video
Question
100%

The Tauroto region contains 31 different species of IceCream-type small monsters.  Each capture of an IceCream-type small monster has an equal chance of being any of the 31 species.

 

a) If a collector captures five of these small monsters, what is the probability that they have captured at least two small monsters of the same species?

 

b) What is the lowest number of IceCream-type small monsters that a collector must capture to make capturing at least two of the same species more likely than not?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
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