Color Yellow (Y) Green (G) Frequency Red (R) 8 Blue (L) Brown (B) 1 8 Orange (0) 7 P(doubles) 15 1 Enter an integer or decimal number [more..] Step 2: Let's find our THEORETICAL probabilities for drawing 2 random M&Ms. Set aside the candy for now. And use what you know about about probability to find the following: (Note that R₁ means a red on the first draw and B₂ means a brown on the second draw, for example) You can leave everything in unreduced fraction form. With Replacement (Independent) Probability P(2 reds) = P(R₁ R₂) P(R₁ B₂ OR B₁ R₂) P(R₁ G₂) P(G₂|R₁) P(no yellows)=P(Y₁ Y 2 Without Replacement (2nd draw depends on the 1st) P(no doubles) Hint: Doubles, add up the probabilities of both same color and no doubles in the complement of

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
Color
Yellow (Y)
Green (G)
Orange (0)
Frequency
Red (R)
8
Blue (L)
Brown (B) 1
8
15
7
1
Enter an integer or decimal number [more..]
Step 2: Let's find our THEORETICAL probabilities for drawing 2 random M&Ms. Set aside the candy
for now. And use what you know about about probability to find the following: (Note that R₁ means
a red on the first draw and B2 means a brown on the second draw, for example) You can leave
everything in unreduced fraction form.
Probability
With Replacement
(Independent)
P(2 reds) = P(R₁ R₂)
P(R₁ B₂ OR B₁ R₂)
P(R₁ G₂)
n
P(G₂|R₁)
P(no yellows)=P(Y₁C Y29
P(doubles)
Without Replacement (2nd
draw depends on the 1st)
P(no doubles)
Hint: Doubles, add up the probabilities of both same color and no doubles in the complement of
Transcribed Image Text:Color Yellow (Y) Green (G) Orange (0) Frequency Red (R) 8 Blue (L) Brown (B) 1 8 15 7 1 Enter an integer or decimal number [more..] Step 2: Let's find our THEORETICAL probabilities for drawing 2 random M&Ms. Set aside the candy for now. And use what you know about about probability to find the following: (Note that R₁ means a red on the first draw and B2 means a brown on the second draw, for example) You can leave everything in unreduced fraction form. Probability With Replacement (Independent) P(2 reds) = P(R₁ R₂) P(R₁ B₂ OR B₁ R₂) P(R₁ G₂) n P(G₂|R₁) P(no yellows)=P(Y₁C Y29 P(doubles) Without Replacement (2nd draw depends on the 1st) P(no doubles) Hint: Doubles, add up the probabilities of both same color and no doubles in the complement of
Expert Solution
Step 1:-

Given that, the Frequency of red is 1. 

Total Frequency is n= 40

Then the Probability that first M&M is red,

P(R1)= 1/40 

We put red M&M back and again draw then the Probability of drawing red one is 

P(R2)= 1/40 

So With replacement, P(R1 n R2)= P(R1)*P(R2)= (1/40)*(1/40)= 1/1600

Without replacement: 

After drawing first M&M, if it's red then Probability of again drawing red is 0. 

So without replacement, P(R1 n R2)= (1/40)*0= 0

 

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