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POSSIBLE PC14. A bag contains:5 red marbles6 blue marbles3 green marbles4 black marbles2 yellow marblesA marble will be drawn from the bag and replaced 100 times.What is a reasonable prediction for the number of times agreen or black marble will be drawn?P (green or black)P=/100P=(write the whole ratio)P(green and red) without replacement

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Solution

We have

5 red marbles

6 blue marbles

3 green marbles

4 black marbles

2 yellow marbles

For a total of 5+6+3+4+2 = 20 marbles

And we want to find the following probability:

p(green or black) = P(green) + P(black) - P(green and black) = 3/20 + 4/20 - 0/20 = 7/20

Equivalent to : 7/20 * 5/5 = 35/100

p(green and red) without replacement = 0/100

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