Question

In a large bag of 100 Skittles®, each of the 5 colors (red, orange, yellow, blue, green) occurs with the same probability. You reach in and select 2 candies.

Find the probability that exactly one of the candies is blue.

Answer 1

Given that each of the five colors have equal probabilty
so each has probability
\[P(red)=P(orange)=P(yellow)=P(blue)=P(green)=\frac 15\]
Do you get this part

Answer 2

yeah i under stand the 1/5 but then you pull out two candies which makes it 1/10th right??

Answer 3

Nope, it's not like that, Let's work step by step

Answer 4

ookkk

Answer 5

Do you know combinations?

Answer 6

yeah the blue is 1/5

Answer 7

there are 20 blue skittles

Answer 8

and there are 80 other colored skittles

Answer 9

oso it would be 1/4 chance of pulling out one blue???

Answer 10

Nope we have to pull it out of 100,
so
\[\frac{20}{100}\]
Now the other skittle has to be any other color so there are 80 other skittles and we have one skittle already pulled out, so we have 99 skittles
\[\frac{80}{99}\]
so the probability is
\[\frac{20}{100} \times \frac{80}{99}\]

Answer 11

Do you get this?

Answer 12

so it would be 16%

Answer 13

Nope a little part is left, first tell me did you understand till here?

Answer 14

yeah

Answer 15

You see we pulled a blue first and then pulled other color, we could have first pulled other color and then blue, in that case tell me what would be the probability?

Answer 16

i have no clue

Answer 17

Just read the previous part and try to arrive at the probability

Answer 18

i still get 16%

Answer 19

yeah it'd be the same, add the two

Answer 20

so 18%

Answer 21

uhuh,
\[\frac{20}{100}\times\frac{80}{99}+\frac{80}{100}\times\frac{20}{99}\]

Answer 22

thanks