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Alex has a bag with 4 red marbles and 2 blue marbles. He draws a marble from the bag, sets it aside, and then draws another marble from the bag. What is the probability that both marbles that Alex drew are red? (Write your answer as a simplified fraction.)

 Jan 3, 2022
 #1
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Alex has a bag with 4 red marbles and 2 blue marbles. He draws a marble from the bag, sets it aside, and then draws another marble from the bag. What is the probability that both marbles that Alex drew are red? (Write your answer as a simplified fraction.)  

 

Alex has 4 chances out of 6 that the first marble is red 

Alex has 3 chances out of 5 that the next marble is red 

 

For both to happen, multiply (4/6) • (3/5) = 12/30  reduces to 2/5    

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 Jan 3, 2022
 #2
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I need to correct / qualify "Alex has 3 chances out of 5 that the next marble is red"  

 

That should have read, "If the first marble was red, then Alex has 3 chances out of 5 that the next marble is red" 

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 Jan 5, 2022

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