Question

17. In a drawer of shirts, 8 are blue, 6 are green
and 4 are magenta. If Mason draws 2 shirts
at random, what is the probability that at
least one of the shirts he draws will be blue?​

Answer 1

Answer:

12/17

Step-by-step explanation:

there are a total of 18 shirts. 8 blue and 10 non blue.

P(selecting at least 1 blue shirt) = 1 - P(selecting no blue shirts)

Assuming no replacement

P(selecting first non-blue shirt) = 10/18

P(selecting secong non-blue shirt) = 9/17

P(selecting no blue shirts) = 10/18 * 9/17= 10/34

Therefor P(selecting at least 1 blue shirt) = 1 -(10/34)= 24/34=12/17