A chef draws cookies randomly from a box containing 6 cookies of the same shape and size. There is 1 chocolate chip cookie, 3 almond, and 2 butter cookies. He draws 1 cookie and then draws another cookie without replacing the first one. Find the probability of picking one almond cookie followed by another almond cookie and show the equation used.

Verified Answer :

6 total cookies.....1 choc chip, 3 almond, 2 butter

probability of picking 1 almond on first pick : 3/6 or 1/2
without replacement
probability of drawing another almond : 2/5

Probability of drawing 1 almond followed by another (without replacement ) is:
3/6 * 2/5 = 6/30 = 1/5

Probability of picking two almond cookies = 1 / 5

Calculation of Probability

Probability Formula = Favourable outcomes / Total outcomes

Total outcomes, given = 6 cookies

Pr (first almond cookie) = 3 / 6

Pr (second almond cookie), without replacement = 2 / 5

So, Prob (Two almond cookies) = ( 3 / 6 ) x ( 2 / 5 )

6 / 30 = 1 / 5

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