Question

You are knitting a hat, and you want it to have 2 different colors from the 3 color choices of red, black, and blue. You randomly select the yarn colors while you knit. What is the probability that the first color is blue and the second color is red?

Answer 1

`(1)/(6)`

Explanation:

Given: Three yarn colors are red, black, and blue

To find: probability that the first color is blue and the second color is red

Solution:

Probability is the chance of occurrence of some event.

Probability = number of favourable outcomes/Total number of outcomes

Probability that the first color is blue =
`(1)/(3)`

probability that the second color is red if the first color is blue =
`(1)/(2)`

So,

probability that the first color is blue and the second color is red =
`(1)/(3)((1)/(2))=(1)/(6)`