Question

Solve and explain each step

Answer 1

With replacement
3marbles in total (1red , 1blue, 1green)
If two are chosen: (possible chosen-Red and green or blue and green or blue and red)
So possible chosen with replacement with the options given =
Pr(Green and blue)+Pr (blue and green)
(1/3 × 1/3) + (1/3 × 1/3)
1/9 + 1/9
2/9
Without replacement
Pr(green and blue) + Pr(blue and green)
(1/3 × 1/2) + (1/3 × 1/2)
1/6 + 1/6
2/6
1/3
Without replacement = 1/3

Answer 2

With replacement
3marbles in total(1red ,1blue,1green)
If two are chosen:(possible chosen-Red and green or blue and green or blue and red)

So possible chosen with replacement with the options given =
Pr(Green and blue)+Pr(blue and green)
(1/3 x 1/3) + (1/3 x 1/3)
1/9 + 1/9
2/9


Without replacement
Pr(green and blue) + Pr(blue and green)
(1/3 x 1/2) + ( 1/3 x 1/2)
1/6 + 1/6
2/6
1/3
Without replacement = 1/3