PROBABILITY 3

A bag of candy contains 11 lemon flavored sour balls, and 5 lime flavored sour balls.  If Ana reaches in, takes one out and eats it, and then 20 minutes later selects another and eats that one as well, what is the probability that they were both lemon flavored candies?

solution

These are called independent events.

It is a ''Without replacement" question.

P(lemon 1st) = 11/16
P(lemon 2nd) = 10/15 

(remember...one is already eaten!)

Therefore:
P(lemon, lemon) = (11/16)(10/15) = 110/240 = 11/24

the probability that they were both lemon flavored candies is 11/24

TRY THIS………………….

A bag of candy contains 7 lemon flavored sour balls, and 9 lime flavored sour balls.  If Ivan reaches in, takes one out and eats it, and then 30 minutes later selects another and eats that one as well, what is the probability that they were both lime flavored sour balls?