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There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?

Sagot :

zacharyivanov

Answer:

24/49

Step-by-step explanation:

The options to get 2 of different color is picking blue then red or red then blue.  


Starting with picking blue then red.

The chance to pull blue first is 3/7.  Then since the marble is replaced the chance to pull red next is 4/7.  

The chance to get those in that specific order is the product of the two fractions.   (3/7) * (4/7) = 12 / 49

The second option of getting red then blue will be the same as above but 4/7 then 3/7 with the same result of 12/49.  

To finish, add the two probabilities together 12/49 + 12/49 = 24/49.  

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