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)=(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)=(2)/(17)`

now the total probability of

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

`P(yb)=(7)/(17)*(2)/(17)`
`P(yb)=(14)/(289)`
`P(yb)=(14)/(289)=0.0484=4.84\%`