Part 1:
a) The sample space here contain the possible combinations of the 2 balls taken out:
{RR, BB, GG, RG, RB, BG}
b) Probability of getting red marble first and then a green marble is computed here as:
= (7/15)*(3/14) = 0.1
Therefore 0.1 is the required probability here.
c) Empirical probability is computed by experimenting in reality but theoritically calculated probability is called classical probability. As we did not really experiment to find the required probability, therefore classical probability is the correct answer here
d) The events are dependent, because the probability of drawing a particular colour ball on the second draw depends on the colour of ball drawn on the first draw. For example if the first ball drawn is red, the probability of drawing a red ball on second draw would be less than when the first ball drawn was a non red ball.
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