Find the probability of each event described. Complete parts a through d below.

Question

The soccer​ team's shirts have arrived in a big​ box, and people just start grabbing​ them, looking for the right size. The box contains 6 ​medium, 11 ​large, and 9 ​extra-large shirts. A player wants a medium for himself and one for his sister. Find the probability of each event described. Complete parts a through d below.

​a) The first two the player grabs are the wrong sizes.

The probability that the first two shirts the player grabs are the wrong size is ________.

​(Round to three decimal places as​ needed.)

Answer 1

20/26 = .769231 = 76.923% chance of getting the wrong size on 1st try

19/25 = .76000 = 76.000% chance of wrong size on 2nd try

.769231 x .76 = .584615 = 58.462% chance of 2 wrong sizes

Answer 2

There are 26 total shirts, 6 mediums.

Probability not get medium first grab is 20/26, leaving 25 shirts, still 6 mediums

Probability not get medium second grab is 19/25

Probability not get medium both grabs is 20/26 * 19/25 = 0.585