in a jar of 12 cookies a total of 3 cookies are chocolate chip cookies .If two cookies are picked in random, what is the probability that neither of them are chocolate
Answers
Step-by-step explanation:
ans of these is 9/12 is not he probably
The probability that neither cookies are chocolate = 6/11
Given :
Total number of cookies in the jar = 12
Total number of chocolate cookies = 3
To find :
The probability of two picked cookies not being chocolate chip cookies
Solution :
The probability of picking one chocolate cookie
= Number of chocolate cookies / Total number of cookies
= 3/12
The probability of not picking one chocolate cookie
= 1 - the probability of picking a chocolate cookie
= 1 - (3/12) = 9/12
After picking one non-chocolate chip cookie, there are 11 cookies remaining, and 8 are non-chocolate chip cookies.
The probability of picking a non-chocolate chip cookie for the 2nd time
= 8/11
Therefore, the probability of picking two non-chocolate chip cookies
= (9/12) x (8/11) = 6/11
Thus, the probability that neither cookies are chocolate = 6/11
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