A bag contains 4 red marbles and 5 blue marbles. What is the probability of randomly selecting a blue marble and then, without replacing it, selecting a red marbleA bag contains 4 red marbles and 5 blue marbles. What is the probability of randomly selecting a blue marble and then, without replacing it, selecting a red marble

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R means red marbles, B means blue marbles. Wish you can understand the meaning of this picture!( ̄︶ ̄)

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Answer: [tex]\frac{5}{18}[/tex]

Step-by-step explanation:

P(blue) = 5 blue out of 9 total = [tex]\frac{5}{9}[/tex]

P(red) = 4 red out of 8 remaining = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]  simplified

P(blue)    and     P(red)

      [tex]\frac{5}{9}[/tex]      x        [tex]\frac{1}{2}[/tex]

= [tex]\frac{5}{18}[/tex]                    

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