nuccioreggie
  • nuccioreggie
A chef draws cookies randomly from a box containing 6 cookies of the same shape and size. There is 1 chocolate cookie, 3 almond cookies, and 2 butter cookies. He draws 1 cookie and then draws another cookie without replacing the first one. Find the probability of picking 1 almond cookie followed by another almond cookie, and show the equation used. Please EXPLAIN THE ANSWER
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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nuccioreggie
  • nuccioreggie
@ganeshie8
nuccioreggie
  • nuccioreggie
@Loser66
nuccioreggie
  • nuccioreggie
@Mehek14

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More answers

nuccioreggie
  • nuccioreggie
@midhun.madhu1987
Mehek14
  • Mehek14
ok first time 3 almond cookies and 6 total
Mehek14
  • Mehek14
so \(\dfrac{3}{6}=\dfrac{1}{2}\)
nuccioreggie
  • nuccioreggie
Thank you for coming to help me @Mehek14. (:
Mehek14
  • Mehek14
next you don't replace it that means there are only 2 almond cookies left and 5 cookies in total
Mehek14
  • Mehek14
that means \(\dfrac{2}{5}\)
Mehek14
  • Mehek14
so multiply both of them \(\dfrac{1}{2}*\dfrac{2}{5}\)
nuccioreggie
  • nuccioreggie
Ok can you explain the answer all together please so i will understand better @Mehek14
Mehek14
  • Mehek14
sure
nuccioreggie
  • nuccioreggie
Ok ty
Mehek14
  • Mehek14
when you choose the almond cookie for the first time, there are 3 almond cookies and 6 cookies in total so the probability of getting an almond cookie is \(\dfrac{3}{6}\) which can be simplified to \(\dfrac{1}{2}\). when you don't put the almond cookie back, there will be only 2 almond cookies in the box and the total will be one less so the total is 5 and the probability is \(\dfrac{2}{5}\) to find your answer, you have to multiply \(\dfrac{1}{2}*\dfrac{2}{5}\)
nuccioreggie
  • nuccioreggie
Ok then when i multiply that i get my answer?
Mehek14
  • Mehek14
\(\dfrac{2}{10}=\dfrac{1}{5}\)
nuccioreggie
  • nuccioreggie
@Mehek14. Ok im confused whats the last two fraction for i thought u said i have to muliply those fractions to get me final answer
Mehek14
  • Mehek14
yes 1*2 = 2 2 * 5 = 10 \(\dfrac{2}{10}\)
Mehek14
  • Mehek14
simplify to 1/5
nuccioreggie
  • nuccioreggie
And 2/10 is the final answer @Mehek14
Mehek14
  • Mehek14
simplified to 1/5
Mehek14
  • Mehek14
so 1/5 is the answer

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