What Is the Probability of Drawing a Blue Then a Red Marble?

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The discussion focuses on calculating the probability of drawing a blue marble first and a red marble second from an urn containing 2 red, 3 green, and 5 blue marbles, with replacement. The probability of drawing a blue marble (P(A)) is 5/10, and the probability of drawing a red marble (P(B)) is 2/10. To find the combined probability of both events occurring, the formula P(A and B) = P(A) * P(B) is applied, resulting in 10/100 or 1/10. Participants confirm the calculations and emphasize the importance of using probability notation for clarity. The final answer is established as correct.
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Homework Statement



Assume that an URN contains 2 red marbles, 3 Greeen marbles, and 5 blue marbles. If 2 marbles are drawn with replacement, what is the probability that a blue marble will be drawn on the first draw and a red marble will be drawn on the second draw?

Homework Equations



not sure

The Attempt at a Solution


prob blue 5/10
prob red 2/10 not sure what else to do... I am really lost. Please help
 
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welcome to pf!

hi reyesjd24! welcome to pf! :wink:
reyesjd24 said:
prob blue 5/10
prob red 2/10 not sure what else to do... I am really lost. Please help

so far so good :smile: …

P(A) = 5/10, P(B) = 2/10 …

so what P is the question asking for? :wink:​
 


tiny-tim said:
hi reyesjd24! welcome to pf! :wink:


so far so good :smile: …

P(A) = 5/10, P(B) = 2/10 …

so what P is the question asking for? :wink:​

what is the probability that a blue marble will be drawn on the first draw and a red marble will be drawn on the second draw? P(A) = 5/10, P(B) = 2/10 is there anything else that I have to do?
 
now write that using P A and B :wink:
 
tiny-tim said:
now write that using P A and B :wink:

P A and B= 5/10 * 2/10= 10/100
Is that right?
 
reyesjd24 said:
P A and B= 5/10 * 2/10= 10/100
Is that right?

That's right! :smile:

It becomes clearer if you write out the symbols, doesn't it (P(A and B) = P(A)P(B)) ? :wink:
 
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