Question

cedric has 1 red pen, 1 blue pen, and 1 black pen in his desk. if he randomly takes two of them from his desk without replacement, what is the probility that he will take the blue and black pen?

Answer 1

there is a one third chance of that happening (1/3)

Answer 2

Probability that Cedric will take the blue and black pen is
`(1)/(3)`.

Explanation:

Total No of pen on Desk = 3

Without replacement means each time next pen is drawn the total no of pen decreases by 1.

So, Probability of Drawing a blue and black pen

= P(Blue) × P(Black) + P(Black) × P(Blue)

=
`(1)/(3)*(1)/(2)+(1)/(3)*(1)/(2)`

=
`2*(1)/(6)`

=
`(1)/(3)`

Therefore, Probability that Cedric will take the blue and black pen is
`(1)/(3)`.