Respuesta :
ANSWER
The probability of picking 2 almond cookies without replacing it is 1/5
EXPLANATION
Given that
The total number of cookies in the box is 6
The number of chocolate cookie is 1
The number of almond cookies is 3
The number of butter cookies is 2
Probability is defined as likelihood of an event to happen
[tex]\text{ Probability }=\text{ }\frac{\text{ possible outcomes}}{\text{ total outcomes}}[/tex]Recall, that the condition given is without replacement
So, probability of picking 1 almond cookie first is
[tex]\text{ P\lparen1st almond cookie\rparen}=\text{ }\frac{3}{6}[/tex]Since, the first almond cookie picked was not replaced, then, the total number of cookies in the box will be 5 and also, the number of almond cookies will be 2
hence, the probability of picking the second almond is
[tex]\text{ P\lparen2nd almond cookie\rparen }=\text{ }\frac{2}{5}[/tex][tex]\begin{gathered} \text{ P\lparen2 almond cookies\rparen }=\text{ }\frac{3}{6}\times\frac{2}{5} \\ \text{ P\lparen2 almond cookies\rparen }=\frac{6}{30} \\ \text{ P\lparen2 almond cookies\rparen }\frac{1}{5} \end{gathered}[/tex]Therefore, the probability of picking 2 almond cookies without replacing it is 1/5
