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

[reyesjd24]

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

 

[tiny-tim]

welcome to pf!

hi reyesjd24! welcome to pf!

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

so far so good …

P(A) = 5/10, P(B) = 2/10 …

so what P is the question asking for? ​

 

[reyesjd24]

hi reyesjd24! welcome to pf!


so far so good …

P(A) = 5/10, P(B) = 2/10 …

so what P is the question asking for? ​

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?

 

[tiny-tim]

now write that using P A and B

 

[reyesjd24]

now write that using P A and B

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

 

[tiny-tim]

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

That's right!

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