Given that a box has 3 blue marbles, 2 red marbles, and 4 yellow marbles, use the probability formulas to answer the following questions.

Question

Given that a box has 3 blue marbles, 2 red marbles, and 4 yellow marbles, use the probability formulas to answer the following questions. Reduce all fractions. Use / as the fraction bar and do not use any spaces. 

What is the probability of...

1. Drawing a blue marble? 

P(P( )= Answer

1. Drawing a marble that is not red? 

P(P( )= Answer

1. Drawing a red and yellow marble?

P(P()= Answer

1. Drawing a red or blue marble. 

P(P( )= Answer

1. Drawing a red marble, put it back, and then drawing a yellow marble? 

P(P( )= Answer

1. Drawing a yellow marble, keeping it, and then drawing another yellow marble? 

P(P( )= Answer

1. Drawing a yellow marble, given that a red marble was drawn on the first draw and not replaced? 

P(P( )= Answer

Answer 1

P(b) = 3/9 = 1/3

P(~r)= 7/9

P(r&y)=0 on 1 draw P(r&y)= (2/9)(4/8)+ 4/9)(2/8) = 1/9+1/9 = 2/9 in 2 draws without replacement

P(rvb) = 5/9

P(r, then y after replacement) = 2/9 x 4/9 = 8/81

P(2y) = 4/9 x 3/8 =1/6

P(y/r w/o replacement) =4/8 = 1/2