Red Green Orange
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Suppose that an urn contains 6 green balls, 4 red balls and 3 orange balls?
If one ball is drawn, what is the probability that it is orange. If one ball is drawn what is the probability that it is green or orange. If two balls are drawn with replacement, find the probability that they are both red. If two balls are drawn without replacement, what is the probability they are both red
Probability one ball drawn is orange =
3 / ( 6 + 4 + 3 ) = 3 / 13
Probability one ball drawn is green or orange =
( 6 + 3 ) / ( 6 + 4 + 3 ) = 9 / 13
Probability two balls are drawn with replacement are red =
( 4 / ( 6 + 4 + 3 ) ) * ( 4 / ( 6 + 4 + 3 ) ) =
( 4 / 13 )( 4 / 13 ) = 16 / 169
Probability two balls are drawn without replacement are red =
( 4 / ( 6 + 4 + 3 ) ) * ( 3 / ( 6 + 3 + 3 ) ) =
( 4 / 13 )( 3 / 12 ) = 1 / 13
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