Question

For problems 1-3: Johnny Awesome has three red marbles, two blue marbless green marbles, and 7 yellowmarbles in a bag. What is the probability that'Johnny.....draws a yellow marble, replaces it, and then draws a blue marble#2

Answer 1

we have

marbles

3 red

2 blue

5green

7 yellow

total=3+2+5+7

total=17

2)draws a yellow marble replace it and then draws a blue marble

the probability of drawing a yellow marble is

$P(y)=\frac{7}{17}$

since we replace the marble the total number of marbles keeps the same

then the probability of drawing a blue marble is

$P(b)=\frac{2}{17}$

now the total probability of

draws a yellow marble replace it and then draws a blue marble is

$P(yb)=\frac{7}{17}*\frac{2}{17}$$P(yb)=\frac{14}{289}$$P(yb)=\frac{14}{289}=0.0484=4.84\%$