SOLUTION: A basket contains a dozen red roses and two dozen tulips. If two flowers will be selected one after the other with replacement, find the probability of getting a red rose and a tul

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Question 1176599: A basket contains a dozen red roses and two dozen tulips. If two flowers will be selected one after the other with replacement, find the probability of getting a red rose and a tulip.
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Disregard comments, this problem is done with replacement.
36 flowers:  12red roses  and 24 tulips corrected
2 selected with replacement:

P(1 red rose and 1 tulip) =  (12/36)(24/36) = 2/9
 adjusting for order: P( 1 red rose and 1 tulip) = 2/9 + 2/9 = 4/9

Wish You the Best in your Studies.


Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.
A basket contains a dozen red roses and two dozen tulips.
If two flowers will be selected one after the other with replacement,
find the probability of getting a red rose and a tulip.
~~~~~~~~~~~


            The solution by @ewatrrr is incorrect.

            I came to bring the correct solution. 


In all, there are 12 + 2*12 = 36 flowers.


P(1st is red rose, 2nd is tulip) =  =  = 


P(1st is tulip, 2nd is red rose) =  =  = 


P(getting a red rose and a tulip) = P(1st is red rose, 2nd is tulip)  + P(1st is tulip, 2nd is red rose) = 


    =  +  =  = 0.4571 (rounded).    ANSWER

Solved.


/\/\/\/\/\/\/\/


After seeing my post, @ewatrr made partial correction, but made another error.

Her solution in its present form still remains INCORRECT.



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