Question

Kimberly has a bag of candy consisting of 9 red sweets, 15 orange and 8 green. If he eats 2 of the sweets one after the other, what is the probability that the following will occur:
a) the first sweet eaten was orange and the second red
b) both sweets were green
(Please show work so I can see how you got the answer) Thanks in advance!

Answer 1

Eating one will change the number in the bag and the number of that color,
as this is sampling without replacement. Total N= 32, then 31.

p(orange, then red) = p(orange) p(red) = (15/32)(9/31)

p(green, green) = (8/32)(7/31)

Answer 2

Thank you so much!