Question 1191825
<br>
(a) both the same color<br>
This means (1st red AND 2nd red) OR (1st green AND 2nd green) OR (1st yellow AND 2nd yellow)<br>
By basic concepts of probability, "AND" translates to a multiplication of the probabilities; "OR" translates to an addition of the probabilities.  So<br>
P(both red) = (13/29)(12/28) = 156/812
P(both green) = (8/29)(7/28) = 56/812
P(both yellow) = (7/29)(6/28) = 42/812
P(both the same color) = (156+56+42)/812 = 254/812<br>
(b) both not green<br>
P(both not green) = (20/29)(19/28) = 380/812<br>
You can do the calculations and round to the required number of decimal places.<br>