SOLUTION: A container contains two red,three yellow, and four green cards. Two cards are selected at random, one after the other and without replacement, from the container. Calculate the pr

Algebra ->  Probability-and-statistics -> SOLUTION: A container contains two red,three yellow, and four green cards. Two cards are selected at random, one after the other and without replacement, from the container. Calculate the pr      Log On


   

Question 1203268: A container contains two red,three yellow, and four green cards. Two cards are selected at random, one after the other and without replacement, from the container. Calculate the probability that the first card is red and the second card is green.
Answer by ikleyn(52894) About Me  (Show Source):
You can put this solution on YOUR website!
.
A container contains two red, three yellow, and four green cards.
Two cards are selected at random, one after the other and without replacement, from the container.
Calculate the probability highlight%28of_this_combined_event%29 { the first card is red AND the second card is green }.
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In all, there are 2 + 3 + 4 = 9 cards, when the experiment starts.


    P(1st card is red and 2nd card is green) = %282%2F9%29%2A%283%2F%289-1%29%29 = %282%2F9%29%2A%283%2F8%29 = 6%2F72 = 1%2F12.    ANSWER

Solved.

The formula is SELF-EXPLANATORY.


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Notice how I edited your post to make the problem as clear as possible.