SOLUTION: 2. A fair coin is tossed. If “heads” occur, two chips are drawn from a basket with three blue and two red chips; otherwise, the experiment is terminated. Participants will be i

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Question 1181305: 2. A fair coin is tossed. If “heads” occur, two chips are drawn from a basket with three blue and two red chips; otherwise, the experiment is terminated. Participants will be interested in the event E of observing two chips of different colors.
a) Give the sample space of the random experiment.
b) Find the a priori probability of event E
Answer by greenestamps(13206) About Me  (Show Source):
You can put this solution on YOUR website!


a) sample space

(1) tails
(2) heads; 2 red
(3) heads; 1 red and 1 blue
(4) heads; 2 blue

b) P(heads; 1 red and 1 blue)

P(heads) = 1/2

Once the heads is obtained, the probability of choosing 1 of the 3 blue and 1 of the 2 red is

%28C%283%2C1%29%2AC%282%2C1%29%29%2FC%285%2C2%29+=+%283%2A2%29%2F10+=+6%2F10+=+3%2F5

So P(heads; 1 red and 1 blue) = (1/2)(3/5) = 3/10.

ANSWER: 3/10

NOTE: If you are just learning to solve probability problems like this, it is a good exercise to calculate the probabilities of all the outcomes in the sample space and verify that the sum of all the probabilities is 1.