In a bag there are 22 items in total, including: 5 red triangles, 7 white circles, 3 blue circles, 1 red circles, 3 red stars, and 3 blue stars. You pick items randomly out of this bag. If you pick 2 items, what is the probability of picking first a triangle and then a blue item? number (rtol=0.01, atol=D0.0001) If you pick 5 items, what is the probability of picking 2 red stars and 3 white items? number (rtol=0.01, atol=0.0001) If you pick 5 items, what is the probability of picking 2 red stars and 3 white items where the first item picked is a red star and the last item picked is a white item? number (rtol=0.01, atol=0.0001)

In a bag there are 22 items in total, including: 5 red triangles, 7 white circles, 3 blue circles, 1 red circles, 3 red stars, and 3 blue stars. You pick items randomly out of this bag. If you pick 2 items, what is the probability of picking first a triangle and then a blue item? number (rtol=0.01, atol=D0.0001) If you pick 5 items, what is the probability of picking 2 red stars and 3 white items? number (rtol=0.01, atol=0.0001) If you pick 5 items, what is the probability of picking 2 red stars and 3 white items where the first item picked is a red star and the last item picked is a white item? number (rtol=0.01, atol=0.0001)

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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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

In a bag there are 22 items in total, including: 5 red triangles, 7 white circles, 3 blue circles, 1 red circles, 3 red
stars, and 3 blue stars. You pick items randomly out of this bag.
If you pick 2 items, what is the probability of picking first a triangle and then a blue item?
number (rtol=0.01, atol=D0.0001)
If you pick 5 items, what is the probability of picking 2 red stars and 3 white items?
number (rtol=0.01, atol=0.0001)
If you pick 5 items, what is the probability of picking 2 red stars and 3 white items where the first item picked is
a red star and the last item picked is a white item?
number (rtol=0.01, atol=0.0001)

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