You have a drawer with 4 green gum balls, 7 blue gum
balls, and 11 yellow gum balls in it

If you randomly pick 2 gum balls from the drawer,
what is the probability that one will be green and the
other will be blue?

What is the probability that you will pick 3 yellow gum
balls in a row?

Respuesta :

Answer:

i) If you randomly pick 2 gum balls from the drawer,the probability that one will be green and the  other will be blue is 2/33

ii)The probability that you will pick 3 yellow gum  balls in a row is 3/28

Step-by-step explanation:

Number of green gum balls = 4

Number of blue gum balls = 7

Number of yellow gum balls = 11

Total number of balls = 4+7+11=22

If you randomly pick 2 gum balls from the drawer

We are supposed to find the probability that one will be green and the  other will be blue

Probability of getting green ball =[tex]\frac{4}{22}[/tex]

Probability of getting blue ball = [tex]\frac{7}{21}[/tex]

So,the probability that one will be green and the  other will be blue = [tex]\frac{4}{22} \times \frac{7}{21} = \frac{2}{33}[/tex]

Probability that you will pick 3 yellow gum  balls in a row =[tex]\frac{11}{22} \times \frac{10}{21} \times \frac{9}{20}=\frac{3}{28}[/tex]

i) If you randomly pick 2 gum balls from the drawer,the probability that one will be green and the  other will be blue is 2/33

ii)The probability that you will pick 3 yellow gum  balls in a row is 3/28