Part 1.
Suppose you have a cookie jar that contains 13 chocolate chip
cookies and 33 oatmeal cookies. If you reach in the jar and pull
out 2 cookies at random, find the probability that both are
chocolate chip. Express answer to two decimal places.
Part 2.
You decide it would be fun to go to a magic show. The magician picks you out of the crowd and writes down 3 digits (0-9) at random without replacement. He writes them in the order picked.
What is the probability that he has written the first 3 digits of your address? Assume there are no repeats of digits in your address.
Give your answer as a fraction.
Part 3.
Find the number of distinguishable permutations of the given
letters "XXXYYZ".
1) probability that both are chocolate chip =(13/46)*(12/45)=0.08
2)
total number of ways of arrangement of 3 digits =10*9*8 =720
therefore probability =1/720 (Note:this should be 6/720 =1/120 if order of your address digit does not matter)
3)
there are 3 X, 2 Y and 1 Z
hence number of permutations =6!/(3!*2!*1!) =60
Part 1. Suppose you have a cookie jar that contains 13 chocolate chip cookies and 33...
I have a cookie jar with 10 cookies – 3 are chocolate chip, 2 are oatmeal, and 5 are sugar cookies. What is the probability that I get a chocolate chip cookie on my next try if I’ve already pulled out 2 oatmeal and 2 sugar cookies?
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