Two marbles are drawn at random and without replacement from a box containing three blue marbles and four red marbles. a. List the sample points for this experiment. Choose the correct answer below. Denote the marbles as B₁, B₂, B3, R₁, R₂, R3, and R4. O A. (B₁,B₂) (B₁,B3) (B2,B3) (B₁,R₁) (B1,R2) (B₁,R3) (B1,R4) (B2,R₁) (B2,R₂) (B2,R3) (B2¹R4) (B3,R₁) (B3,R₂) (B3,R3) (B3,R4) (R₁,R₂) (R₁,R₂) (R₁,R4) (R₂.R3) (R₂,R4) (R3 R4) B. (B₁,R₁) (B₁,R₂) (B₁,R3) (B₁,R4) (B₂,R₁) (B2,R₂) (B2,R3) (B₂,R4) (B3,R₁) (B3,R₂) (B3,R3) (B3,R4) C. B₁, B₂, B3, R₁, R₂, R3, R4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section: Chapter Questions
Problem 64PRT
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Question
Two marbles are drawn at random and without replacement from a box containing three blue marbles and four red
marbles.
a. List the sample points for this experiment.
Choose the correct answer below. Denote the marbles as B₁, B2, B3, R₁, R₂, R3, and R4.
OA. (B₁,B₂) (B₁,B3) (B2,B3) (B₁,R₁) (B₁,R₂) (B₁,R3) (B₁,R4) (B₂,R₁)
1
1
1
1
(B2,R₂) (B2,R3) (B2,R4) (B3,R₁) (B3,R₂) (B3,R3) (B3,R4) (R₁,R₂)
(R₁,R3) (R₁,R4) (R2,R3) (R₂,R4) (R3 R4)
OB. (B₁,R₁) (B₁,R₂) (B₁,R3) (B₁,R4) (B₂R₁) (B₂R₂) (B₂, R3) (B2, R4)
1
1
(B3,R₁) (B3,R₂) (B3,R3) (B3,R4)
C. B₁, B₂, B3, R₁, R₂, R3, R4
Transcribed Image Text:Two marbles are drawn at random and without replacement from a box containing three blue marbles and four red marbles. a. List the sample points for this experiment. Choose the correct answer below. Denote the marbles as B₁, B2, B3, R₁, R₂, R3, and R4. OA. (B₁,B₂) (B₁,B3) (B2,B3) (B₁,R₁) (B₁,R₂) (B₁,R3) (B₁,R4) (B₂,R₁) 1 1 1 1 (B2,R₂) (B2,R3) (B2,R4) (B3,R₁) (B3,R₂) (B3,R3) (B3,R4) (R₁,R₂) (R₁,R3) (R₁,R4) (R2,R3) (R₂,R4) (R3 R4) OB. (B₁,R₁) (B₁,R₂) (B₁,R3) (B₁,R4) (B₂R₁) (B₂R₂) (B₂, R3) (B2, R4) 1 1 (B3,R₁) (B3,R₂) (B3,R3) (B3,R4) C. B₁, B₂, B3, R₁, R₂, R3, R4
Expert Solution
Step 1

The number of ways r items can be selected from n different items is equal to C(n, r).

The formula for C(n, r) is: C(n, r)=n!n-r! r!.

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