Question

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?

Answer 1

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

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 =
`(4)/(22)`

Probability of getting blue ball =
`(7)/(21)`

So,the probability that one will be green and the other will be blue =
`(4)/(22) * (7)/(21) = (2)/(33)`

Probability that you will pick 3 yellow gum balls in a row =
`(11)/(22) * (10)/(21) * (9)/(20)=(3)/(28)`

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