whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, five green ones, three white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She has all the red ones. 2. In a New York State daily lottery game, a sequence of two digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that all two are different. 3. In a New York State daily lottery game, a sequence of two digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that all two are different.

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...
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Please help solve and explain these probability questions!

1. whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, five green ones, three white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]

She has all the red ones.

2. In a New York State daily lottery game, a sequence of two digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that all two are different.

3. In a New York State daily lottery game, a sequence of two digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that all two are different.

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