Suppose that you are given the below dataset of mushroom types with two features of “color” and whether the mushroom “is spotted” and the output variable of whether the mushroom “is poisonous”. Which of the following statements is/are correct assuming that features are conditionally independent?
x₁ = Color
x₂ = Is Spotted
y = Is Poisonous
dark brown
yes
Yes
white
yes
Yes
dark brown
no
Yes
white
no
No
dark brown
no
No
light brown
no
No
white
yes
No

Question

Suppose that you are given the below dataset of mushroom types with two features of “color” and whether the mushroom “is spotted” and the output variable of whether the mushroom “is poisonous”. Which of the following statements is/are correct assuming that features are conditionally independent?

x₁ = Color	x₂ = Is Spotted	y = Is Poisonous
dark brown	yes	Yes
white	yes	Yes
dark brown	no	Yes
white	no	No
dark brown	no	No
light brown	no	No
white	yes	No

Accepted Answer

P(x1 = white, x2 =  yes|y = Yes) = `2/9`

Accepted Answer

P(y = Yes)  = `3/7`

Answer

P(x1 = white, x2 =  yes|y = Yes) =  `2/7`

Answer

P(x 1  = white, x 2  =  yes|y = Yes)  = `1/3`

Crowdly

Suppose that you are given the below dataset of mushroom types with two feature...

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